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**1. Homework Statement**

Find the steepest path up a hill as an expression in terms of x and y whose height is given by f(x,y)=x^2y-2xy+5 starting at (2,1)

**2. The attempt at a solution**

I know that I need to get a set of parametric equations for x and y because I have done problems sort of like this before, but those always had only one variable in the partials. I'm unsure of how to get these equations when dz/dx=2xy-2y and dz/dy=x^2-2x.