Let xy''-y'=0. Try a solution of the form y=xr. Is this a solution for some r? If so, find all such r.
The Attempt at a Solution
The answer I came up with was: r*x-r*x=0, for all r.
But in the solutions it says, "y = xr is a solution for r = 0 and r = 2."
Is there some reason it would only work for r=0 and r=2?