Homework$3$: Problem $6$

$(1$ 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 differential equation:

$\frac{dy}{dx}=\frac{4x^4-2y}{2x-y^2}$

First rewrite as

$M(x,y)dxN(x,y)dy=0$

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 $=C.$

Note: You can earn partial credit on this problem.