Originally Posted by

**Aryth** I have two problems that I'm having some serious difficulty with. It's probably because of my lack of knowledge of implicit solutions. If, while you solve these, you could explain a little more about implicit solutions I would be incredibly grateful.

In these problems, determine whether the given relation is an implicit solution to the given differential equation. Assume that the relationship does define y implicity as a function of x and use implicit differentiation.

1.

$\displaystyle e^{xy} + y = x - 1$,

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