Implicit Solutions

Determine whether the given relation is an implicit solution to the given differential equation:

$e^{xy}-y=x^2+1$

and

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

Determine whether the given relation is an implicit solution to the given differential equation:

$x^2-cos(x+y)=2$

and

Please help with both problems. Thanks!