Determine whether the given relation is an implicit solution to the given differential equation. assume that y is a function of x.

Differentiate:x^2 + y^2 = 4

You get this:2x + 2yy' = 0

bring the x variable on the other side:2yy' = - 2x

Now divide 2y to leave y' by itself:y' = - 2x/2y

Answer: y' = - x/y

The given relation is not a implicit solution to the given differential equation.