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## 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=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.