unique solution for a homogeneous differential equation

I'm having trouble getting this question started. Im not sure how to go about solving it nor what method to use. Some of my friends say to divide by $\displaystyle x^2$, while others tell me other ways.

$\displaystyle x^2 d^2 y/ dx^2 + 2x (x-1) dy/dx - 2(x-1)y=0$

Why doesn't the general theory guarantee a unique solution to the equation satisfying the initial conditions y(0) = 0, y'(0) = 1.

If someone could explain to me what i need to do, i would much appreciate it

thanks