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

So I had my final exam today in ODE and I had an equation which appeared to be exact, but was not. I also tried to find a special integrating factor to make it exact, but no success. I then attempted to manipulate it into a linear eq, tried separable variables, even tried to get it into a Bernoulli form, all of which no luck. This was the extra credit question so I know it must be difficult, but I cannot find an example similar to it in our text, "Fundamentals of Differential Equations" by Nagle. Here is the equation and I was told I could use any method I like to solve it.

x(x-y-2)dx+y(y-x+4)=0

2. Relevant equations

It is not an exact differential, cannot obtain a special integrating factor. Thanks again for any assistance, this problem has been bugging me all day!

3. The attempt at a solution

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# Homework Help: Strange ODE from my final today?

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