Hi.(adsbygoogle = window.adsbygoogle || []).push({});

In the course of trying to solve the field equations of a physical system, within some assumptions about its symetry, i managed to get a non-linear ODE involving only a single function of one variable, but still rather tough to handle :

In the equation, x=x(r) is the unknown function to find, and p0, p1, p2 are KNOWN algebraic functions of r (that i didn't take the time to write down here, but are not too complicated functions).

p0*(x''-x'²) + x'(x²+2x) (-/+) p1*x^4 + p2*x³ - p2*x² (+/-) p1*x = 0

Do you guys have any ideas of how i could manage to obtain any analytic solution for x(r)?

I can't find any help, because its not a categorized equation (Ricatti, Abell, ...)

Thank you so much for your help!

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Non-linear ODE

**Physics Forums | Science Articles, Homework Help, Discussion**