## Describing the path of steepest ascent w/ parametric equations

I have a function f(x,y) = y / x^2 , starting at the pt. (4,0) where z = 0.
I want to find parametric equations that describe the path of steepest ascent to a point on the surface z = 3.

I have no problem sketching the curve and finding the gradients at each level curve, but I can't figure out how to turn that info into parametric equations.

Thanks for any help