23. (a) (2n )! [P,(x)]² dx 2 (n!)ª J_, (1 – x*y" dx (b) By making an appropriate change of variable, evaluate the integral in (a) through use of the gamma function and hence derive Eq. (4.66). (P,(x ) ]ª dx = 2 n= 0, 1, 2, ... (4.66) 2n +1
23. (a) (2n )! [P,(x)]² dx 2 (n!)ª J_, (1 – x*y" dx (b) By making an appropriate change of variable, evaluate the integral in (a) through use of the gamma function and hence derive Eq. (4.66). (P,(x ) ]ª dx = 2 n= 0, 1, 2, ... (4.66) 2n +1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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