60d1b6a5-bd62-46b4-a514-3f1ec6c8775b 33 overlord 3 5 false true 0 decimal

&[DATE] &[TIME]

eq.1 x 2 ^ y * y 2 ^ x * + 1 + : eq.2 x 2 ^ y + 3 - : 2 1 sys

As you can see two equation intersect at five points. So there are five solutions for these two equations. Integrated solve() function shouldn't accept multiple equations as far as I know, it is for single equation solution. roots() and FindRoot() can solve this type of problems but they will give you single solution for designated range. It is better to plot equations, determine the range by intersections and try to find all solutions either by roots() or FindRoot() by changing the ranges.

no optimization

fpprintprec 4 MaximaDefine 4

L eq.1 eq.2 21 mat x y 21 mat Solve :

L x 0.1167 - ≡ y 2.986 ≡ 21 sys x 1.153 - ≡ y 1.672 ≡ 21 sys x 1.807 - ≡ y 0.2667 - ≡ 21 sys x 1.836 ≡ y 0.3719 - ≡ 21 sys x 2.24 ≡ y 2.019 - ≡ 21 sys 15 mat

fpprintprec 15 MaximaDefine 15

Symbolic optimization

L x 1166857991761771000000000000000 / - ≡ y 7465960665658125000000000000 / ≡ 21 sys x 1440701053396312500000000000 / - ≡ y 8358016741790150000000000000 / ≡ 21 sys x 180741454020221100000000000000 / - ≡ y 2667470672075431000000000000000 / - ≡ 21 sys 13 mat

no optimization

L x 0.116685799176177 - ≡ y 2.98638426626324 ≡ 21 sys x 1.15256084271704 - ≡ y 1.67160334835802 ≡ 21 sys x 1.80741454020221 - ≡ y 0.266747067207543 - ≡ 21 sys x 1.83626943005181 ≡ y 0.371884871884872 - ≡ 21 sys x 2.24039186134137 ≡ y 2.01935581430516 - ≡ 21 sys 15 mat

j 1100 range transpose :

optimization none

j 1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950515253545556575859606162636465666768697071727374757677787980818283848586878889909192939495969798991001100 mat

optimization symbolic

j 12345678910111213141516171819202122122 mat

optimization numeric

j 12345678910111213141516171819202122122 mat