Show that the differetial equation is a Sturm−Louville equation (x^(−1) y^1 )^1 +(4+λ)x^(−3) y=0, y(1)=0,y(ϱ^t )=0 Solve the equation to determine the eigenvalue and the corresponding eigen functions of the problem. Show also that the set of eigen function forms and orthogonal and orthonormal set. Thanks as usual.


Question and Answers Forum

All Questions Topic List
Differential Equation Questions
Previous in All Question Next in All Question
Previous in Differential Equation Next in Differential Equation
Question Number 83619 by Jidda28 last updated on 04/Mar/20

$S h o w t h a t t h e d i f f e r e t i a l e q u a t i o n i s a S t u r m - L o u v i l l e e q u a t i o n$ ${(x^{- 1} y^{1})}^{1} + (4 + λ) x^{- 3} y = 0, y (1) = 0, y (ϱ^{t}) = 0$ $S o l v e t h e e q u a t i o n t o d e t e r m i n e t h e e i g e n v a l u e a n d t h e c o r r e s p o n d i n g e i g e n f u n c t i o n s o f t h e p r o b l e m .$ $S h o w a l s o t h a t t h e s e t o f e i g e n f u n c t i o n f o r m s a n d o r t h o g o n a l a n d o r t h o n o r m a l s e t .$ $T h a n k s a s u s u a l .$
Terms of Service
Privacy Policy
Contact: info@tinkutara.com

Question and Answers Forum