Show-that-the-differetial-equation-is-a-Sturm-Louville-equation-x-1-y-1-1-4-x-3-y-0-y-1-0-y-t-0-Solve-the-equation-to-determine-the-eigenvalue-and-the-corresponding-eigen-functions

Question Number 83619 by Jidda28 last updated on 04/Mar/20

S h o w t h a t t h e d i f f e r e t i a l e q u a t i o n i s a S t u r m - L o u v i l l e e q u a t i o n

{(x^{- 1} y^{1})}^{1} + (4 + λ) x^{- 3} y = 0, y (1) = 0, y (ϱ^{t}) = 0

S o l v e t h e e q u a t i o n t o d e t e r m i n e t h e e i g e n v a l u e a n d t h e c o r r e s p o n d i n g e i g e n f u n c t i o n s o f t h e p r o b l e m .

S h o w a l s o t h a t t h e s e t o f e i g e n f u n c t i o n f o r m s a n d o r t h o g o n a l a n d o r t h o n o r m a l s e t .

T h a n k s a s u s u a l .