Nonseparable ODE which method to use

1. Oct 26, 2013

Dustinsfl

1. The problem statement, all variables and given/known data
$$\left(\frac{du}{dx}\right)^2 = au^2 + bu + c$$

2. Relevant equations

3. The attempt at a solution

What method is used to solve and ODE of this form

2. Oct 26, 2013

hilbert2

Isn't that equivalent to $\frac{du}{\sqrt{au^{2}+bu+c}}=\pm dx$ ? Seems to be separable after all.