- #1
TheFerruccio
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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.