## Legendre equation , the Bessel equation and Sturm Liouville equation

Show that the Legendre equation as well as the Bessel equation for n=integer are Sturm Liouville equations and thus their solutions are orthogonal.

How I can proove that ..?

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 Recognitions: Gold Member Can you put it in sturm-liouville form?
 Yes ... see . this is the form of Sturm Liouville and this table help me i found the mathematical explain for bessel . but i don't know how i can prove thier solutions are orthogonal ..! can you help me

Recognitions:
Gold Member

## Legendre equation , the Bessel equation and Sturm Liouville equation

Did you post the problem exactly? If so, as I interpret it, you do not need to prove that yourself. It is well known that the solutions to sturm-liouville problems are orthogonal and the proof can be found in any mathematical methods book.
 yea i understand that hour before .. i wasn't have enough information about sturm-liouville or maybe my brain stopped thanks :)