# General Solution to ODE System [closed]

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

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

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

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

Homework ?

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

Did you try

`desolve_system`

?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.

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