solving an inseparable differential equation involving exponentials Solve $2xe^y$ + $e^x$ + ($x^2$ + 1)$e^y$$\frac{dy}{dx}$ = 0 with $y$ = 0 when $x$ = 0.
So this is clearly an inseparable differential equation so I thought the standard way to approach this was with a substitution but I cannot think of anything that would help me solve this? I thought maybe $u = x^2 e^y$ or $y = ux^2$ but they didn't get me anywhere at all.

Hint:
$\frac{\partial}{\partial y}(2xe^y+e^x) = \frac{\partial}{\partial x} (x^2+1)e^y$
