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## Homework Statement

Solve the following first order differential equation for x,

[tex]\frac{dy}{dx}[/tex] = 3xy + xy

^{2}

## Homework Equations

Methods: Separation of Variables, Define an Integrating Factor

## The Attempt at a Solution

I have been staring at this question for a while now, hoping that somehow the numbers would start looking nicer for me to solve, but alas this has not happened. I am totally stumped here, any help to steer me in the right direction would be greatly appreciated.