General Solution to ODE System [closed]

asked 2023-02-15 05:01:05 +0200

Jack Zuffante gravatar image

diff(p(x), x, x) == 5p(x)/(5p(x)^2 + 4*t(x)^2),

diff(t(x), x, x) == -4t(x)/(5p(x)^2 + 4*t(x)^2),

diff(t(x), x) == 1/(5p(x)^2 + 4t(x)^2) + diff(p(x), x)

Can SageMath find a general solution between t and x based on this system of ODEs?

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Closed for the following reason duplicate question by Emmanuel Charpentier
close date 2023-02-15 09:35:26.744327

Comments

Homework ?

Emmanuel Charpentier gravatar imageEmmanuel Charpentier ( 2023-02-15 09:27:49 +0200 )edit

Unless I'm mistaken in correcting your syntax, this the same system you alreadu exposed here.

Did you try desolve_system ?

Emmanuel Charpentier gravatar imageEmmanuel Charpentier ( 2023-02-15 09:35:17 +0200 )edit

I did not try that yet. I just wasn't sure if that would work. Also I'm not sure of the best way to set up the variables and functions before doing that.

Jack Zuffante gravatar imageJack Zuffante ( 2023-02-15 20:45:45 +0200 )edit

Also the Sage documentation indicates that desolve_system is for first order, but maybe it could still work.

Jack Zuffante gravatar imageJack Zuffante ( 2023-02-15 20:49:23 +0200 )edit
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