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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?


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up vote 3 down vote accepted

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. – Henrik Mar 3 '12 at 9:27

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