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  <settings>
    <identity>
      <id>404a627e-5cc2-4760-bdc7-a41ab36a90c8</id>
      <revision>18</revision>
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    <calculation>
      <precision>4</precision>
      <exponentialThreshold>5</exponentialThreshold>
      <fractions>decimal</fractions>
    </calculation>
    <pageModel active="true" printAreas="true" simpleEqualsOnly="false" printBackgroundImages="true">
      <paper id="9" orientation="Portrait" width="827" height="1169" />
      <margins left="39" right="39" top="39" bottom="39" />
      <header alignment="Center" color="#a9a9a9">&amp;[DATE] &amp;[TIME] - &amp;[FILENAME]</header>
      <footer alignment="Center" color="#a9a9a9">&amp;[PAGENUM] / &amp;[COUNT]</footer>
      <backgrounds />
    </pageModel>
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      <assembly name="MaximaPlugin" version="1.0.5115.5713" guid="44011c1e-5d0d-4533-8e68-e32b5badce41" />
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  </settings>
  <region id="0" left="18" top="18" width="328" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p bold="true">Drawing direction fields and solutions 
of ODEs with the package "drawdf"</p>
    </text>
  </region>
  <region id="1" left="513" top="18" width="176" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="Section Graphics Maxima.sm">Diagramme mit Maxima</p>
    </text>
    <text lang="eng">
      <p href="Section Graphics Maxima.sm">Plotting with Maxima</p>
    </text>
  </region>
  <region id="2" left="513" top="36" width="61" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="Plugin Maxima.sm">Maxima</p>
    </text>
  </region>
  <region id="3" left="513" top="54" width="61" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="Handbook.sm">Inhalt</p>
    </text>
    <text lang="eng">
      <p href="Handbook.sm">Contents</p>
    </text>
  </region>
  <region id="4" left="18" top="90" width="702" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>These examples and the explanation texts are taken from the Maxima handbook, section
"drawdf"</p>
    </text>
  </region>
  <region id="5" left="108" top="117" width="28" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <hyperlink dl="http://maxima.sourceforge.net/docs/manual/en/maxima.html#SEC_Top" flags="" sd="False" width="18" height="18">
      <input>
        <e type="operand" style="string">http://maxima.sourceforge.net/docs/manual/en/maxima.html#SEC_Top</e>
      </input>
    </hyperlink>
  </region>
  <region id="6" left="18" top="180" width="324" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p underline="true">Single ODE with one dependent variable</p>
    </text>
  </region>
  <region id="7" left="18" top="216" width="224" height="46" color="#000000" bgColor="#ffff80" fontSize="10">
    <math>
      <input>
        <e type="operand">y</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="2">diff</e>
        <e type="operand">opts_and_obj</e>
        <e type="function" args="2">drawdf</e>
      </input>
    </math>
  </region>
  <region id="8" left="396" top="225" width="225" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>standard variables x and y</p>
    </text>
  </region>
  <region id="9" left="18" top="261" width="257" height="46" color="#000000" bgColor="#ffff80" fontSize="10">
    <math>
      <input>
        <e type="operand">v</e>
        <e type="operand">u</e>
        <e type="function" preserve="true" args="2">diff</e>
        <e type="operand">u</e>
        <e type="operand">v</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="operand">opts_and_obj</e>
        <e type="function" args="3">drawdf</e>
      </input>
    </math>
  </region>
  <region id="10" left="396" top="270" width="143" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>custom variables</p>
    </text>
  </region>
  <region id="11" left="18" top="306" width="340" height="80" color="#000000" bgColor="#ffff80" fontSize="10">
    <math>
      <input>
        <e type="operand">v</e>
        <e type="operand">u</e>
        <e type="function" preserve="true" args="2">diff</e>
        <e type="operand">u</e>
        <e type="operand">u.min</e>
        <e type="operand">u.max</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">sys</e>
        <e type="operand">v</e>
        <e type="operand">v.min</e>
        <e type="operand">v.max</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">sys</e>
        <e type="operand">opts_and_obj</e>
        <e type="function" args="4">drawdf</e>
      </input>
    </math>
  </region>
  <region id="12" left="396" top="333" width="233" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>custom variables with range</p>
    </text>
  </region>
  <region id="13" left="396" top="360" width="193" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>default range: -10..10</p>
    </text>
  </region>
  <region id="14" left="18" top="387" width="397" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p underline="true">System of two ODEs with two dependent variables</p>
    </text>
  </region>
  <region id="15" left="18" top="414" width="233" height="86" color="#000000" bgColor="#ffff80" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="operand">t</e>
        <e type="function" preserve="true" args="2">diff</e>
        <e type="operand">y</e>
        <e type="operand">t</e>
        <e type="function" preserve="true" args="2">diff</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="operand">opts_and_obj</e>
        <e type="function" args="2">drawdf</e>
      </input>
    </math>
  </region>
  <region id="16" left="396" top="441" width="249" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>standard variables x, y and t</p>
    </text>
  </region>
  <region id="17" left="18" top="495" width="266" height="86" color="#000000" bgColor="#ffff80" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="operand">t</e>
        <e type="function" preserve="true" args="2">diff</e>
        <e type="operand">y</e>
        <e type="operand">t</e>
        <e type="function" preserve="true" args="2">diff</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="operand">u</e>
        <e type="operand">v</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="operand">opts_and_obj</e>
        <e type="function" args="3">drawdf</e>
      </input>
    </math>
  </region>
  <region id="18" left="396" top="513" width="143" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>custom variables</p>
    </text>
  </region>
  <region id="19" left="18" top="576" width="349" height="86" color="#000000" bgColor="#ffff80" fontSize="10">
    <math>
      <input>
        <e type="operand">u</e>
        <e type="operand">t</e>
        <e type="function" preserve="true" args="2">diff</e>
        <e type="operand">v</e>
        <e type="operand">t</e>
        <e type="function" preserve="true" args="2">diff</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="operand">u</e>
        <e type="operand">u.min</e>
        <e type="operand">u.max</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">sys</e>
        <e type="operand">v</e>
        <e type="operand">v.min</e>
        <e type="operand">v.max</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">sys</e>
        <e type="operand">opts_and_obj</e>
        <e type="function" args="4">drawdf</e>
      </input>
    </math>
  </region>
  <region id="20" left="396" top="603" width="233" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>custom variables with range</p>
    </text>
  </region>
  <region id="21" left="18" top="684" width="226" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p underline="true">Additional graphic objects</p>
    </text>
  </region>
  <region id="22" left="18" top="720" width="114" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="function" args="2">soln_at</e>
      </input>
    </math>
  </region>
  <region id="23" left="234" top="720" width="52" height="44" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">p</e>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="24" left="315" top="720" width="307" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>solution lines through a given point</p>
    </text>
  </region>
  <region id="25" left="18" top="738" width="154" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">p1</e>
        <e type="operand">#</e>
        <e type="operand">#</e>
        <e type="function" args="3">solns_at</e>
      </input>
    </math>
  </region>
  <region id="26" left="18" top="756" width="130" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="function" args="2">saddle_at</e>
      </input>
    </math>
  </region>
  <region id="27" left="315" top="756" width="131" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>Solution lines </p>
    </text>
  </region>
  <region id="28" left="18" top="774" width="170" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">p1</e>
        <e type="operand">#</e>
        <e type="operand">#</e>
        <e type="function" args="3">saddles_at</e>
      </input>
    </math>
  </region>
  <region id="29" left="18" top="792" width="122" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="function" args="2">point_at</e>
      </input>
    </math>
  </region>
  <region id="30" left="18" top="810" width="162" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">p1</e>
        <e type="operand">#</e>
        <e type="operand">#</e>
        <e type="function" args="3">points_at</e>
      </input>
    </math>
  </region>
  <region id="31" left="18" top="846" width="226" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p underline="true">Additional graphic options</p>
    </text>
  </region>
  <region id="32" left="18" top="882" width="316" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>Options for solution and saddle lines</p>
    </text>
  </region>
  <region id="33" left="18" top="918" width="157" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">soln_arrows</e>
        <e type="operand">false</e>
        <e type="operator" args="2">≡</e>
      </input>
    </math>
  </region>
  <region id="34" left="198" top="918" width="404" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>if true, adds small arrows to the solution lines</p>
    </text>
  </region>
  <region id="35" left="18" top="936" width="91" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">tstep</e>
        <e type="operand">0.1</e>
        <e type="operator" args="2">≡</e>
      </input>
    </math>
  </region>
  <region id="36" left="198" top="936" width="259" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>Integration control parameters</p>
    </text>
  </region>
  <region id="37" left="18" top="954" width="115" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">nsteps</e>
        <e type="operand">false</e>
        <e type="operator" args="2">≡</e>
      </input>
    </math>
  </region>
  <region id="38" left="18" top="972" width="107" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">duration</e>
        <e type="operand">10</e>
        <e type="operator" args="2">≡</e>
      </input>
    </math>
  </region>
  <region id="39" left="18" top="990" width="132" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">direction</e>
        <e type="operand">both</e>
        <e type="operator" args="2">≡</e>
      </input>
    </math>
  </region>
  <region id="40" left="198" top="990" width="291" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>forward/right, reverse/left, both  </p>
    </text>
  </region>
  <region id="41" left="18" top="1008" width="132" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">field_degree</e>
        <e type="operand">1</e>
        <e type="operator" args="2">≡</e>
      </input>
    </math>
  </region>
  <region id="42" left="198" top="1008" width="503" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>1: linear, 2: quadratic, solns: compute short solution lines</p>
    </text>
  </region>
  <region id="43" left="18" top="1026" width="111" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">field_arrows</e>
      </input>
    </math>
  </region>
  <region id="44" left="18" top="1044" width="132" height="44" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">field_grid</e>
        <e type="operand">29</e>
        <e type="operand">29</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="operator" args="2">≡</e>
      </input>
    </math>
  </region>
  <region id="45" left="198" top="1044" width="289" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>number of arrows in each direction</p>
    </text>
  </region>
  <region id="46" left="18" top="1089" width="174" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">field_color</e>
        <e type="operand" style="string">black</e>
        <e type="operator" args="2">≡</e>
      </input>
    </math>
  </region>
  <region id="47" left="18" top="1107" width="140" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">show_field</e>
        <e type="operand">true</e>
        <e type="operator" args="2">≡</e>
      </input>
    </math>
  </region>
  <region id="48" left="18" top="1125" width="103" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">field_tstep</e>
      </input>
    </math>
  </region>
  <region id="49" left="18" top="1143" width="111" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">field_nsteps</e>
      </input>
    </math>
  </region>
  <region id="50" left="18" top="1161" width="127" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">field_duration</e>
      </input>
    </math>
  </region>
  <region id="51" left="18" top="1215" width="144" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p underline="true">Initializations:</p>
    </text>
  </region>
  <region id="52" left="45" top="1242" width="226" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>restart the Maxima session</p>
    </text>
  </region>
  <region id="53" left="45" top="1260" width="218" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>load the "drawdf" package</p>
    </text>
  </region>
  <region id="54" left="45" top="1278" width="635" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>Make sure that the current directory is set to where the current document is</p>
    </text>
  </region>
  <region id="55" left="45" top="1296" width="610" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>Set default plot options that shall be applied to all plots in this page.</p>
    </text>
  </region>
  <region id="56" left="18" top="1332" width="387" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand" style="string">restart</e>
        <e type="function" preserve="true" args="1">MaximaControl</e>
      </input>
      <result action="numeric">
        <e type="operand" style="string">Restart complete.</e>
      </result>
    </math>
  </region>
  <region id="57" left="18" top="1359" width="207" height="28" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="2">
      <input>
        <e type="operand">msg</e>
        <e type="operand">drawdf</e>
        <e type="function" args="1">load</e>
        <e type="function" preserve="true" args="1">Maxima</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="58" left="243" top="1359" width="364" height="28" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">dir</e>
        <e type="operand" style="string" />
        <e type="function" preserve="true" args="1">DocumentDirectory</e>
        <e type="function" preserve="true" args="1">CurrentDirectory</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="59" left="18" top="1386" width="601" height="80" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">dopt</e>
        <e type="operand">user_preamble</e>
        <e type="operand" style="string">set terminal svg noenhanced size 500,500 dynamic</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">terminal</e>
        <e type="operand">svg</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">file_name</e>
        <e type="operand">name</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">background_color</e>
        <e type="operand" style="string">#fefefe</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">4</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="6">sys</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="60" left="18" top="1485" width="283" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p underline="true">Example 1: no non-default options</p>
    </text>
  </region>
  <region id="61" left="18" top="1521" width="101" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">name</e>
        <e type="operand" style="string">df1</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="62" left="135" top="1521" width="279" height="30" color="#000000" bgColor="#ffffff" fontSize="10">
    <math evaluate="false">
      <input>
        <e type="operand">x</e>
        <e type="operator" args="1">-</e>
        <e type="function" preserve="true" args="1">exp</e>
        <e type="operand">y</e>
        <e type="operator" args="2">+</e>
        <e type="operand">dopt</e>
        <e type="function" args="2">drawdf</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="symbolic">
        <e type="operand">0</e>
      </result>
    </math>
  </region>
  <region id="63" left="27" top="1566" width="282" height="263" color="#000000" bgColor="#ffffff" fontSize="10">
    <image width="272" height="255">
      <input>
        <e type="operand" style="string">df1.svg</e>
      </input>
    </image>
  </region>
  <region id="64" left="18" top="1854" width="290" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p underline="true">Example 2: x and y range specified</p>
    </text>
  </region>
  <region id="65" left="18" top="1881" width="101" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">name</e>
        <e type="operand" style="string">df2</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="66" left="126" top="1890" width="382" height="66" color="#000000" bgColor="#ffffff" fontSize="10">
    <math evaluate="false">
      <input>
        <e type="operand">y</e>
        <e type="operand">9</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">y</e>
        <e type="operand">5</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">-</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="operand">x</e>
        <e type="operand">1</e>
        <e type="operand">5</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">sys</e>
        <e type="operand">y</e>
        <e type="operand">2</e>
        <e type="operator" args="1">-</e>
        <e type="operand">2</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">sys</e>
        <e type="operand">dopt</e>
        <e type="function" args="4">drawdf</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="numeric">
        <e type="operand">0</e>
      </result>
    </math>
  </region>
  <region id="67" left="27" top="1971" width="278" height="259" color="#000000" bgColor="#ffffff" fontSize="10">
    <image width="268" height="251">
      <input>
        <e type="operand" style="string">df2.svg</e>
      </input>
    </image>
  </region>
  <region id="68" left="18" top="2259" width="356" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p underline="true">Legacy type specification of solution line</p>
    </text>
  </region>
  <region id="69" left="18" top="2295" width="101" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="2">
      <input>
        <e type="operand">name</e>
        <e type="operand" style="string">df3</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="70" left="18" top="2322" width="555" height="66" color="#000000" bgColor="#ffffff" fontSize="10">
    <math evaluate="false">
      <input>
        <e type="operand">2</e>
        <e type="operand">t</e>
        <e type="function" preserve="true" args="1">cos</e>
        <e type="operator" args="2">*</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="operand">y</e>
        <e type="operator" args="2">+</e>
        <e type="operand">t</e>
        <e type="operand">y</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="operand">t</e>
        <e type="operand">5</e>
        <e type="operator" args="1">-</e>
        <e type="operand">10</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">sys</e>
        <e type="operand">y</e>
        <e type="operand">4</e>
        <e type="operator" args="1">-</e>
        <e type="operand">9</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">sys</e>
        <e type="operand">trajectory_at</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">sys</e>
        <e type="operand">dopt</e>
        <e type="function" args="6">drawdf</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="numeric">
        <e type="operand">0</e>
      </result>
    </math>
  </region>
  <region id="71" left="27" top="2385" width="328" height="301" color="#000000" bgColor="#ffffff" fontSize="10">
    <image width="318" height="293">
      <input>
        <e type="operand" style="string">df3.svg</e>
      </input>
    </image>
  </region>
  <region id="72" left="18" top="2727" width="266" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p underline="true">Specification of solution lines</p>
    </text>
  </region>
  <region id="73" left="18" top="2754" width="666" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>soln_at and solns_at draw solution curves passing through the specified points, 
using a slightly enhanced 4th-order Runge Kutta numerical integrator</p>
    </text>
  </region>
  <region id="74" left="27" top="2799" width="101" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="2">
      <input>
        <e type="operand">name</e>
        <e type="operand" style="string">df4</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="75" left="27" top="2826" width="232" height="86" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">opt</e>
        <e type="operand">0</e>
        <e type="operand">0.1</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="operand">0</e>
        <e type="operand">0.1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="function" args="2">solns_at</e>
        <e type="operand">color</e>
        <e type="operand">blue</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="function" args="2">soln_at</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">sys</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="76" left="270" top="2835" width="464" height="66" color="#000000" bgColor="#ffffff" fontSize="10">
    <math evaluate="false">
      <input>
        <e type="operand">2</e>
        <e type="operand">t</e>
        <e type="function" preserve="true" args="1">cos</e>
        <e type="operator" args="2">*</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="operand">y</e>
        <e type="operator" args="2">+</e>
        <e type="operand">t</e>
        <e type="operand">y</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="operand">t</e>
        <e type="operand">5</e>
        <e type="operator" args="1">-</e>
        <e type="operand">10</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">sys</e>
        <e type="operand">y</e>
        <e type="operand">4</e>
        <e type="operator" args="1">-</e>
        <e type="operand">9</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">sys</e>
        <e type="operand">dopt</e>
        <e type="operand">opt</e>
        <e type="function" args="6">drawdf</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="numeric">
        <e type="operand">0</e>
      </result>
    </math>
  </region>
  <region id="77" left="36" top="2916" width="324" height="292" color="#000000" bgColor="#ffffff" fontSize="10">
    <image width="314" height="284">
      <input>
        <e type="operand" style="string">df4.svg</e>
      </input>
    </image>
  </region>
  <region id="78" left="36" top="3249" width="463" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p underline="true">This example does not work in wxmaxima 5.31.1-1 as well</p>
    </text>
  </region>
  <region id="79" left="36" top="3285" width="323" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>This seems to hang or take too long...</p>
    </text>
  </region>
  <region id="80" left="36" top="3321" width="101" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="2">
      <input>
        <e type="operand">name</e>
        <e type="operand" style="string">df5</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="81" left="36" top="3339" width="232" height="142" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">opt</e>
        <e type="operand">field_degree</e>
        <e type="operand">2</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">field_grid</e>
        <e type="operand">10</e>
        <e type="operand">10</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">0</e>
        <e type="operand">0.1</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="operand">0</e>
        <e type="operand">0.1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="function" args="2">solns_at</e>
        <e type="operand">color</e>
        <e type="operand">blue</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="function" args="2">soln_at</e>
        <e type="operand">5</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="7">sys</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="82" left="270" top="3339" width="464" height="66" color="#000000" bgColor="#ffffff" fontSize="10">
    <math evaluate="false">
      <input>
        <e type="operand">2</e>
        <e type="operand">t</e>
        <e type="function" preserve="true" args="1">cos</e>
        <e type="operator" args="2">*</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="operand">y</e>
        <e type="operator" args="2">+</e>
        <e type="operand">t</e>
        <e type="operand">y</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="operand">t</e>
        <e type="operand">5</e>
        <e type="operator" args="1">-</e>
        <e type="operand">10</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">sys</e>
        <e type="operand">y</e>
        <e type="operand">4</e>
        <e type="operator" args="1">-</e>
        <e type="operand">9</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">sys</e>
        <e type="operand">dopt</e>
        <e type="operand">opt</e>
        <e type="function" args="6">drawdf</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="numeric">
        <e type="operand">0</e>
      </result>
    </math>
  </region>
  <region id="83" left="18" top="3492" width="422" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p underline="true">Plotting solution lines with (rather small) arrows</p>
    </text>
  </region>
  <region id="84" left="18" top="3528" width="721" height="56" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>soln_arrows=true adds arrows to the solution curves, and (by default) removes them 
from the direction field. It also changes the default colors to emphasize the solution 
curves. </p>
    </text>
  </region>
  <region id="85" left="36" top="3591" width="101" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="2">
      <input>
        <e type="operand">name</e>
        <e type="operand" style="string">df6</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="86" left="36" top="3609" width="265" height="84" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">opt</e>
        <e type="operand">soln_arrows</e>
        <e type="operand">true</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">line_width</e>
        <e type="operand">4</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">0</e>
        <e type="operand">0.1</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="operand">0</e>
        <e type="operand">0.1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="function" args="3">solns_at</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">sys</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="87" left="36" top="3699" width="464" height="66" color="#000000" bgColor="#ffffff" fontSize="10">
    <math evaluate="false">
      <input>
        <e type="operand">2</e>
        <e type="operand">t</e>
        <e type="function" preserve="true" args="1">cos</e>
        <e type="operator" args="2">*</e>
        <e type="operand">1</e>
        <e type="operator" args="2">-</e>
        <e type="operand">y</e>
        <e type="operator" args="2">+</e>
        <e type="operand">t</e>
        <e type="operand">y</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="operand">t</e>
        <e type="operand">5</e>
        <e type="operator" args="1">-</e>
        <e type="operand">10</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">sys</e>
        <e type="operand">y</e>
        <e type="operand">4</e>
        <e type="operator" args="1">-</e>
        <e type="operand">9</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">sys</e>
        <e type="operand">dopt</e>
        <e type="operand">opt</e>
        <e type="function" args="6">drawdf</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="numeric">
        <e type="operand">0</e>
      </result>
    </math>
  </region>
  <region id="88" left="36" top="3771" width="365" height="338" color="#000000" bgColor="#ffffff" fontSize="10">
    <image width="355" height="330">
      <input>
        <e type="operand" style="string">df6.svg</e>
      </input>
    </image>
  </region>
  <region id="89" left="18" top="4131" width="442" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p underline="true">Plotting with increased line width to see the arrows </p>
    </text>
  </region>
  <region id="90" left="36" top="4167" width="101" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="2">
      <input>
        <e type="operand">name</e>
        <e type="operand" style="string">df7</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="91" left="36" top="4185" width="555" height="104" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">opt</e>
        <e type="operand">soln_arrows</e>
        <e type="operand">true</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">line_width</e>
        <e type="operand">4</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">0.5</e>
        <e type="operand">0.5</e>
        <e type="function" args="2">point_at</e>
        <e type="operand">0.1</e>
        <e type="operand">0.2</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="operand">0.2</e>
        <e type="operand">0.1</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="operand">1</e>
        <e type="operand">0.8</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="operand">0.1</e>
        <e type="operand">0.1</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="operand">0.6</e>
        <e type="operand">0.05</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="operand">0.05</e>
        <e type="operand">0.4</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="operand">1</e>
        <e type="operand">0.01</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="operand">0.01</e>
        <e type="operand">0.75</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="function" args="8">solns_at</e>
        <e type="operand">4</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="6">sys</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="92" left="36" top="4293" width="418" height="69" color="#000000" bgColor="#ffffff" fontSize="10">
    <math evaluate="false">
      <input>
        <e type="operand">x</e>
        <e type="operand">1</e>
        <e type="operand">x</e>
        <e type="operator" args="2">-</e>
        <e type="operand">y</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operand">y</e>
        <e type="operand">3</e>
        <e type="operand">4</e>
        <e type="operator" args="2">/</e>
        <e type="operand">y</e>
        <e type="operator" args="2">-</e>
        <e type="operand">x</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="operand">x</e>
        <e type="operand">0</e>
        <e type="operand">1.1</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">sys</e>
        <e type="operand">y</e>
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">sys</e>
        <e type="operand">dopt</e>
        <e type="operand">opt</e>
        <e type="function" args="5">drawdf</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="symbolic">
        <e type="operand">0</e>
      </result>
    </math>
  </region>
  <region id="93" left="36" top="4365" width="378" height="356" color="#000000" bgColor="#ffffff" fontSize="10">
    <image error="25" width="368" height="348">
      <input>
        <e type="operand" style="string">df7.svg</e>
      </input>
    </image>
  </region>
  <region id="94" left="441" top="4374" width="263" height="88" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>The standard duration for time 
integration is 10. Not all 
solution curves reach the 
asymptotic point within that 
time.</p>
    </text>
  </region>
  <region id="95" left="18" top="4743" width="429" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p underline="true">Direction field with short solution lines as arrows</p>
    </text>
  </region>
  <region id="96" left="18" top="4770" width="491" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>Here, the integration time for solution lines is set to 40 </p>
    </text>
  </region>
  <region id="97" left="36" top="4806" width="101" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="2">
      <input>
        <e type="operand">name</e>
        <e type="operand" style="string">df8</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="98" left="36" top="4824" width="555" height="140" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">opt</e>
        <e type="operand">field_degree</e>
        <e type="operand">solns</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">duration</e>
        <e type="operand">40</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">soln_arrows</e>
        <e type="operand">true</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">line_width</e>
        <e type="operand">4</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">0.5</e>
        <e type="operand">0.5</e>
        <e type="function" args="2">point_at</e>
        <e type="operand">0.1</e>
        <e type="operand">0.2</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="operand">0.2</e>
        <e type="operand">0.1</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="operand">1</e>
        <e type="operand">0.8</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="operand">0.1</e>
        <e type="operand">0.1</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="operand">0.6</e>
        <e type="operand">0.05</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="operand">0.05</e>
        <e type="operand">0.4</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="operand">1</e>
        <e type="operand">0.01</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="operand">0.01</e>
        <e type="operand">0.75</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="function" args="8">solns_at</e>
        <e type="operand">6</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="8">sys</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="99" left="36" top="4959" width="418" height="69" color="#000000" bgColor="#ffffff" fontSize="10">
    <math evaluate="false">
      <input>
        <e type="operand">x</e>
        <e type="operand">1</e>
        <e type="operand">x</e>
        <e type="operator" args="2">-</e>
        <e type="operand">y</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operand">y</e>
        <e type="operand">3</e>
        <e type="operand">4</e>
        <e type="operator" args="2">/</e>
        <e type="operand">y</e>
        <e type="operator" args="2">-</e>
        <e type="operand">x</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="operand">x</e>
        <e type="operand">0</e>
        <e type="operand">1.1</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">sys</e>
        <e type="operand">y</e>
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">sys</e>
        <e type="operand">dopt</e>
        <e type="operand">opt</e>
        <e type="function" args="5">drawdf</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="numeric">
        <e type="operand">0</e>
      </result>
    </math>
  </region>
  <region id="100" left="27" top="5049" width="391" height="346" color="#000000" bgColor="#ffffff" fontSize="10">
    <image width="381" height="338">
      <input>
        <e type="operand" style="string">df8.svg</e>
      </input>
    </image>
  </region>
  <region id="101" left="18" top="5436" width="332" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p underline="true">Plotting saddle points and separatrices</p>
    </text>
  </region>
  <region id="102" left="27" top="5472" width="101" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="2">
      <input>
        <e type="operand">name</e>
        <e type="operand" style="string">df9</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="103" left="126" top="5472" width="269" height="160" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">opt</e>
        <e type="operand">field_degree</e>
        <e type="operand">solns</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">tstep</e>
        <e type="operand">0.05</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">soln_arrows</e>
        <e type="operand">true</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">point_size</e>
        <e type="operand">0.5</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="operand">2</e>
        <e type="operand">π</e>
        <e type="operator" args="2">*</e>
        <e type="operand">0</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="operand">2</e>
        <e type="operand">π</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="function" args="3">points_at</e>
        <e type="operand">π</e>
        <e type="operand">0</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="operand">π</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="function" args="2">saddles_at</e>
        <e type="operand">6</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="8">sys</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="104" left="378" top="5481" width="348" height="65" color="#000000" bgColor="#ffffff" fontSize="10">
    <math evaluate="false">
      <input>
        <e type="operand">y</e>
        <e type="operand">9</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">y</e>
        <e type="operand">5</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">-</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="operand">dopt</e>
        <e type="operand">opt</e>
        <e type="function" args="3">drawdf</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="symbolic">
        <e type="operand">0</e>
      </result>
    </math>
  </region>
  <region id="105" left="18" top="5643" width="398" height="346" color="#000000" bgColor="#ffffff" fontSize="10">
    <image width="388" height="338">
      <input>
        <e type="operand" style="string">df9.svg</e>
      </input>
    </image>
  </region>
  <region id="106" left="18" top="6021" width="455" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p underline="true">The same, but with direction field arrows switched off</p>
    </text>
  </region>
  <region id="107" left="27" top="6057" width="109" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="2">
      <input>
        <e type="operand">name</e>
        <e type="operand" style="string">df10</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="108" left="126" top="6057" width="269" height="160" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">opt</e>
        <e type="operand">show_field</e>
        <e type="operand">false</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">tstep</e>
        <e type="operand">0.05</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">soln_arrows</e>
        <e type="operand">true</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">point_size</e>
        <e type="operand">0.5</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="operand">2</e>
        <e type="operand">π</e>
        <e type="operator" args="2">*</e>
        <e type="operand">0</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="operand">2</e>
        <e type="operand">π</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="function" args="3">points_at</e>
        <e type="operand">π</e>
        <e type="operand">0</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="operand">π</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="function" args="2">saddles_at</e>
        <e type="operand">6</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="8">sys</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="109" left="387" top="6066" width="348" height="65" color="#000000" bgColor="#ffffff" fontSize="10">
    <math evaluate="false">
      <input>
        <e type="operand">y</e>
        <e type="operand">9</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">y</e>
        <e type="operand">5</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">-</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
        <e type="operand">dopt</e>
        <e type="operand">opt</e>
        <e type="function" args="3">drawdf</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="symbolic">
        <e type="operand">0</e>
      </result>
    </math>
  </region>
  <region id="110" left="18" top="6219" width="352" height="327" color="#000000" bgColor="#ffffff" fontSize="10">
    <image width="342" height="319">
      <input>
        <e type="operand" style="string">df10.svg</e>
      </input>
    </image>
  </region>
  <region id="111" left="18" top="6579" width="349" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p underline="true">Pimping a plot with standard draw options</p>
    </text>
  </region>
  <region id="112" left="18" top="6606" width="627" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>You could group the option into further nested lists for better readibility</p>
    </text>
  </region>
  <region id="113" left="36" top="6642" width="109" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="2">
      <input>
        <e type="operand">name</e>
        <e type="operand" style="string">df11</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="114" left="135" top="6642" width="348" height="232" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">opt</e>
        <e type="operand">field_color</e>
        <e type="operand">gray</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">key</e>
        <e type="operand" style="string">soln 1</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">color</e>
        <e type="operand" style="string">black</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="function" args="2">soln_at</e>
        <e type="operand">key</e>
        <e type="operand" style="string">soln 2</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">color</e>
        <e type="operand" style="string">red</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="function" args="2">soln_at</e>
        <e type="operand">key</e>
        <e type="operand" style="string">isocline</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">color</e>
        <e type="operand" style="string">green</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">line_width</e>
        <e type="operand">2</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">nticks</e>
        <e type="operand">100</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">t</e>
        <e type="function" preserve="true" args="1">cos</e>
        <e type="operand">t</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operand">t</e>
        <e type="operand">0</e>
        <e type="operand">2</e>
        <e type="operand">π</e>
        <e type="operator" args="2">*</e>
        <e type="function" args="5">parametric</e>
        <e type="operand">12</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="14">sys</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="115" left="36" top="6876" width="382" height="66" color="#000000" bgColor="#ffffff" fontSize="10">
    <math evaluate="false">
      <input>
        <e type="operand">x</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operand">y</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">+</e>
        <e type="operand">x</e>
        <e type="operand">2</e>
        <e type="operator" args="1">-</e>
        <e type="operand">2</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">sys</e>
        <e type="operand">y</e>
        <e type="operand">2</e>
        <e type="operator" args="1">-</e>
        <e type="operand">2</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">sys</e>
        <e type="operand">dopt</e>
        <e type="operand">opt</e>
        <e type="function" args="5">drawdf</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="symbolic">
        <e type="operand">0</e>
      </result>
    </math>
  </region>
  <region id="116" left="9" top="6948" width="405" height="400" color="#000000" bgColor="#ffffff" fontSize="10">
    <image width="395" height="392">
      <input>
        <e type="operand" style="string">df11.svg</e>
      </input>
    </image>
  </region>
</regions>