Originally Posted by

**ilya** Hi, i'm new.

I have a question that gives me the equation of a hill:

h(x,y)=40/(4+x^2+3y^2)

I need to find an equation for the path of a stream that follows the path of steepest descent down the hill and passes through the point (1,1,5). I'm ok with the course material (i think, hehe) - that is, i realize that i'm working with gradients, partial derivatives, etc. If this was a "find the tangent plane or line" problem i'd be ok, but it seems to be a differential equation problem. In that case, i'm not sure how to make a differential equation out of it. It'd be great if someone could help.