Could someone help me solve this?

$\displaystyle y''+(y')^2=2e^{-y}$

So far I've got $\displaystyle v\frac{dv}{dy}+v^2=2e^{-y}$ with $\displaystyle v=y'$, which I also cannot solve.

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- Oct 15th 2008, 03:47 AM #1

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- Oct 15th 2008, 05:51 AM #2
Divide by v and re-arrange to recognise that it's a Bernoulli DE: Bernoulli differential equation - Wikipedia, the free encyclopedia

So make the substitution w = v^2.

- Oct 15th 2008, 09:03 PM #3

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