TheFerruccio
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Homework Statement
Find the general solution to the following ODE.
Homework Equations
yy'' = 2y'^2
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.
\frac{yy''}{y'} = 2y'
But, the y' is still on both sides.
I then tried doing the \frac{dy}{dx} form as it's easier to see.
\frac{yy''}{\frac{dy}{dx}} = 2\frac{dy}{dx}
I still feel like I am getting nowhere.