The differential equation \( (e^{x+1} + y) \, dx + (ye^y + x) \, dy = 0 \) is exact.
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Step 1: A differential equation of the form $M(x,y) dx + N(x,y) dy = 0$ is exact if and only if $\frac{\partial M}{\partial y} = \frac{\partial N}{\partial x}$. Show more…
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