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

[itex]\left( 1+x \right) ^{2}y' -2\,{\it xy}=0[/itex]

2. Relevant equations

3. The attempt at a solution

I know I need to get all the y and dy on one side, all the x and dx on another. Then integrate.

I also know the answer should be y=C(1+x^2)

[itex]\left( {x}^{2}+2\,x+1 \right) {\frac {dy}{dx}} =2\,{

\it xy}[/itex]

[itex]\frac {1}{2x} \left( {x}^{2}+2\,x+1 \right) {\frac {dy}{dx}} =\,{

\it y}[/itex]

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# Homework Help: Solving differential equation with y'

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