Hi.
I want to draw the level curve for the following function.
f(x,y) = [x-y^2]/[x^2+y]
so if i set c = [x-y^2]/[x^2+y], how can I solve for y? Basically i need y in terms of c and x so I can draw them do i not?
I don't know the context of the problem and perhaps you only need to draw the zero level curve. In that case
$\displaystyle \frac{x-y^2}{x^2+y}=0\Leftrightarrow (x-y^2=0)\;\wedge (x^2+y\neq 0)$
That is, the parabola $\displaystyle x=y^2$ excluding the points $\displaystyle (0,0),\;(1,-1)$ .