Differential Equation (form of: dy/dx = ay^2 + b)

[TheYellowMole]

Homework Statement

Solve the following differential equation:

$$\frac{dV}{dt}$$L + $$\frac{V^{2}}{2}$$ - gh = 0

It is known that V=0 at t=0.

Homework Equations

None

The Attempt at a Solution

This is my resulting equation from a more difficult problem. I have tried separating and trying to find an exact, without luck.

 

[Dick]

dy/(ay^2+b)=dx. That looks pretty separable to me.