By making the transformation u= x^αy where α is a constant to be found, find the general solution of[/B]
y'' + (2/x)y' + 9y=0
The Attempt at a Solution
I've worked out y,y',y'' and subbed them in to get
x^-au'' + x^a-1(2-2a)u' + x^-a-2(x^2-a(a-1))u =0
but I don't know what to do from here.
Any help would be greatly appreciated.