(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Solve the I.V.P. x^{2}(dy/dx) = (4x^{2}-x-2)/((x+1)(y+1)) , y(1)=1

2. Relevant equations

3. The attempt at a solution

So far, I got to this:

y^{2}/2 + y = log(x) + 2/x + 3log(x+1) + C

I used the initial conditions to solve for C and got:

C = -1/2 - 3log(2)

Substituting C back in:

y^{2}/2 + y = log(x) + 2/x + 3log(x+1) + (-1/2 - 3log(2))

Now my question is, is it possible to solve for y or is this as far as I can go with the problem?

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# Initial value problem, end of problem Q

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