I know that there is a general analytic method to solve the following non-linear differential equation(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

\frac {dy} {dx} = ay^2 + by + c

[/tex]

… where a, b and c are constants. It is just a Riccati equation generalized to constant coefficients. I am wondering if there is a analytic method to solve the following non-linear differential equation where a, b, c and d are constants…

[tex]

\frac {dy} {dx} = ay^3 + by^2 + cy + d

[/tex]

Thanks in advanced.

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# Non-Linear ODE’s

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