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y''+2y(y')^3=0 ; y(0)=1, y'(0)=1 use u=y' to solve IVP

y''+2y(y')^3=0 ; y(0)=1, y'(0)=1 use u=y' to solve IVP

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Homework Answers

Answer #1

So

Integrating we get

That is,

So

Initial conditions imply

So

That is,

Thus,

So that

And initial condition implies

Required solution is

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