I know how to solve $\displaystyle y' +fy + g = 0$ and $\displaystyle y' + fy^2 +gy = 0$. Is a general solution to $\displaystyle y'(t) + f(t)(y(t))^2 + g(t)y(t) + h(t) = 0$ known?

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- Apr 9th 2010, 01:25 PM #1

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- Apr 9th 2010, 02:16 PM #2
Perhaps this might help a bit...

It's connected to Bernoulli numbers though so I don't know if it's a generalized case...

Riccati equation - Wikipedia, the free encyclopedia