gizsim
Feb8-12, 10:14 AM
Hi.
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!
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!