Differential Equation Question

[ben2009]

Hi,

I'm trying to find a solution to this differential equation

dy/dx=-sqrt(|yx|)

I know how to solve it WITHOUT THE ABSOLUTE VALUE SIGNS signs, ie

dy/dx=-sqrt(yx)

by taking it as as separable differential function, and solving for S -dy/sqrt(y)= S sqrt(x) dx.

But i'm just wondering, what is the effect of having the absolute value signs? Can i still separate it in the same way? If i can, are there any other things i should watch out for?

Thanks in advanced