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## Homework Statement

Find the general solution to the following ODE.

## Homework Equations

[tex]yy'' = 2y'^2[/tex]

## The Attempt at a Solution

I am not sure how to approach this, but I get the sense that it must, somehow, be separable. I switched variables around in attempt to figure something out, but I got nowhere. I am clearly not seeing something that should be obvious. I should have been able to solve this thing years ago with no problem.

[tex]\frac{yy''}{y'} = 2y'[/tex]

But, the [tex]y'[/tex] is still on both sides.

I then tried doing the [tex]\frac{dy}{dx}[/tex] form as it's easier to see.

[tex]\frac{yy''}{\frac{dy}{dx}} = 2\frac{dy}{dx}[/tex]

I still feel like I am getting nowhere.