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 Post subject: unique solution of variablesPosted: Mon, 14 Nov 2011 14:02:54 UTC
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Joined: Mon, 14 Nov 2011 13:53:50 UTC
Posts: 2
HI

i was wondering if you could help as for the life of me i am unable to solve this equations. the equation is as follows:

let F(x,y)=√x .arctany+√(∏+x).ln(1+y²), (x,y) ∈ [0,∏]xR.

Prove that for every a∈(0,∏) and every b∈R, the initial value problem y'(x)=F(x,y), y(a)=b has a unique solution on the interval (0,∏).

hint (2y≤ y²+1)

that is the question. i hope that someone can help me with this as i am battling to even get started on this equation.

regards
diffsloser

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 Post subject: Re: unique solution of variablesPosted: Tue, 15 Nov 2011 18:25:09 UTC
 S.O.S. Newbie

Joined: Mon, 14 Nov 2011 13:53:50 UTC
Posts: 2

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