ec0b2aa1-e2d7-4738-bf3c-d63efd40b089 21 4 5 false false 0 decimal
&[PAGENUM] / &[COUNT]

For Maple notation

Maple differential equation solver

Parametric solution

For an homogeneus equation:

Discretizing for plot:

 Π

Notice that bugs don't fly to the origin.

Implicit Solution

Can plot it using vfield library with pVField and pIPlot.

 <p>vfield</p>

Ber7 Cycle colors

Plots a family of rk by various ic

FamilyPlot(f(α,x),α,x) plots f for the ranges α and x.

2 f a b c d M N pFamily x# y# Clear x a b M LinSpace : y c d N LinSpace : 1 3 mat x# y# f x y pFamily 2 1 line :

FamilyPlot(f(α,x),α,x) plots f for the ranges α and x.

2 f α x pFamily M α length : N x length : P 0 : F 0 : 1 4 mat c 1 M range r 1 N range F r c el α c el x r el f Re eval 0 try : for for c 1 M range P c el x F c col augment eval : for P mat2sys.1 eval 4 1 line : Π

Symbolic Solutions

Showing Maple results, they are

Implicit

 y 2 ^ x 2 ^ + ln 2 y x / atan * + 2 /

Parametric

 1 e 2 C * - 1 u 2 ^ + ln + 2 u atan * + 2 / ^ / u e 2 C * - 1 u 2 ^ + ln + 2 u atan * + 2 / ^ / 1 2 mat

Polar Plot

Can use Viacheslav's XY Plot, with this aux fnc:

 Π