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

Solve the following equation:

[tex]y^2- xy + (x+1)y' = 0[/tex]

3. The attempt at a solution

The equation isn't exact, and it isn't homogeneous.

I've tried a range of different substitutions, including v = y - x, v = y^2, v = y^2 - xy, none of which seem to lead down a fruitful path.

I've tried differentiating this expression, to obtain a second-order ODE, and then eliminate either the nonlinear term, or the y' term, etc, between the two expressions, but that doesn't seem to lead anywhere fruitful either..

Any hints? :-)

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# Homework Help: Nonlinear ODE

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