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Solve the phase plane equation to obtain the integral curves for the system:

$$\begin{align*}\frac{\mathrm dx}{\mathrm dt}&=2y-x\\\frac{\mathrm dy}{\mathrm dt}&=e^x+y\end{align*}$$

It's for a 200 level paper; differential equations. What is important with this question is that it is non-linear. So he can't use linear methods. He will try a Jacobian matrix and see if that gives anything useful. His textbook also says he could maybe change it into polar coordinates, but that doesn't seem to be helping.

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    http://www.sosmath.com/diffeq/system/nonlinear/linearization/linearization.html2011-10-06
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    The references to "him" no longer make sense after you edited out your boyfriend.2011-10-07

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