21. The Laguerre equation is 22 TL d²y x- 22²2 + (1 - x) 42 / +1 dx (a) Show that it can be transformed into Sturm-Liouville form. (b) Write down the orthogonality condition for the Laguerre polyno- mials Ln(x). Ch-buah + ny = 0.
21. The Laguerre equation is 22 TL d²y x- 22²2 + (1 - x) 42 / +1 dx (a) Show that it can be transformed into Sturm-Liouville form. (b) Write down the orthogonality condition for the Laguerre polyno- mials Ln(x). Ch-buah + ny = 0.
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![21. The Laguerre equation is
22
d²y
4x2 + (1 - x) dx +
TL
+ ny = 0.
(a) Show that it can be transformed into Sturm-Liouville form.
(b) Write down the orthogonality condition for the Laguerre polyno-
mials Ln(x).
Chabach](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb86d9816-5c52-4cd3-907e-413790303d78%2Ff067a761-9276-43c5-baa3-0b361327aa06%2Fdweyqei_processed.jpeg&w=3840&q=75)
Transcribed Image Text:21. The Laguerre equation is
22
d²y
4x2 + (1 - x) dx +
TL
+ ny = 0.
(a) Show that it can be transformed into Sturm-Liouville form.
(b) Write down the orthogonality condition for the Laguerre polyno-
mials Ln(x).
Chabach
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