
#1
Jul1111, 11:20 PM

P: 68

I've read a few books on solving differential equations and they all talk about inner products with respect to weight functions. The examples always read something like that "Using the weight function w(x) = blah blah show that the solutions of the differential equations are orthogonal"
We're always given the weight function. I was wondering if there was a general method to finding the weight function? 



#2
Jul1311, 06:54 PM

P: 6

Yes, there are ways to determine weight. For example, Vilenkin does that a couple of times in his Special functions and the theory of group representations.




#3
Jul1411, 11:38 AM

HW Helper
Thanks
PF Gold
P: 7,186

http://en.wikipedia.org/wiki/Sturm%E...ouville_theory 


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