$(1$ point$)$ Use the "mixed partials" check to see if the following differential equation is exact.

If it is exact find a function $F(x,y)$ whose differential, $dF(x,y)$ gives the differential equation. That is$,$ level curves $F(x,y)=C$ are solutions to the differential equation:

$\frac{dy}{dx}=\frac{3x^2-y}{x+2y^2}$

First rewrite as

$M(x,y)dx+N(x,y)dy=0$

where $M(x,y)=$

and $N(x,y)=$

If the equation is not exact, enter not exact, otherwise enter in $F(x,y)$ as the solution of the differential equation here $=C.$