- #1

fluidistic

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## Homework Statement

The DE [itex]y''+\frac{2}{x}y'+ \left [ K+\frac{2}{x} - \frac{l(l+1)}{x^2} \right ]y=0[/itex], [itex]0<x< + \infty[/itex]. appears when working on the hydrogen atom. Find all the values of K (the eigenvalues) that generates solutions of the form [itex]\phi (x)[/itex] such that [itex]\phi (x)[/itex] remains finite when x tends to 0.

## Homework Equations

I don't know.

## The Attempt at a Solution

I don't know how to start. There's nothing said about the l's but I guess that they are natural numbers. Also why the solutions are phi's rather than y's, I don't know.