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
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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