Problem $2$: For an exact differential, the second derivative of the function $(P$ in this case$)$ is independent of the order

of differentiation. Is this proposed function for an equation of state possible? That is$,$ is dP an exact differential? The

parameters $a,b,$ and $c$ are non$-$zero constants. Explain.

$dP=(\frac{a}{V-b}+\frac{c}{V^2})dT-\frac{aT}{(V-b{)}^2}dV$