yes sorry I forgot that bit I had worked out that a should be -1 and there's a typo it should be a(a+1)
which would simplify it down to
x^1 U'' + x^1U=0
then I had the thought to divide by x to get U''+U=0
but I got stuck here because I wasn't sure on what to do. Should I change back to y?
Homework Statement
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=0The Attempt at a Solution
I've worked out y,y',y'' and subbed them into get
x^-au'' + x^a-1(2-2a)u' + x^-a-2(x^2-a(a-1))u =0...