2nd order nonlinear nonseperable equation
I've recently been trying to solve the following equation:
d^{2}x/dt^{2} + (x^{2}  a) dx/dt + (x^{2}  b)x = 0 I've reduced it to a first order equation by a simple substitution of y = dx/dt to obtain: dy/dx = (ax^{2}) + [(bx^{2})x]/y = 0 However I cannot figure out how to solve this equation. Is it possible? If not can I at least find equilibrium states? 
Re: 2nd order nonlinear nonseperable equation
dy/dx time y comes out dy/dx times dx/dy = second derivative of x w.r.t t !?!?!?!?
Anyway, I see some constant solutions..... Check and see. Any initial conditions on the problem? 
Re: 2nd order nonlinear nonseperable equation
Welcome to physics forum phygeek. Why don't you try a series solution.

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