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Legendre equation , the Bessel equation and Sturm Liouville equation 
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#1
Dec2812, 08:35 AM

P: 3

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 ..? :( 


#2
Dec2812, 11:28 AM

P: 1,042

Can you put it in sturmliouville form?



#3
Dec2812, 12:41 PM

P: 3

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 


#4
Dec2812, 03:14 PM

P: 1,042

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 sturmliouville problems are orthogonal and the proof can be found in any mathematical methods book.



#5
Dec2812, 03:27 PM

P: 3

yea
i understand that hour before .. i wasn't have enough information about sturmliouville or maybe my brain stopped thanks :) 


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