Differential equation with Bessel function-like solution

I have the following differential equation:

$$r^2f''(r)+2rf'(r)-2f(r)=0$$

I think a solution has something to do with Bessel functions but I can't figure out how. Could somebody help me to find a solution?

Thanks!

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This is a Cauchy-Euler equation. I think this Wikipedia page explains quite well how to attack it.

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Many thanks, this wikipedia-page is very clear! –  Benjamin Mar 3 '12 at 9:25
You are welcome,let me know otherwise. –  user22705 Mar 3 '12 at 9:27