(a) Complete k (-1)* 2k+n = -½(x) k! (k + n + 1)! k=1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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3-
(a) Complete
k (-1)k
4 k! (k + n + 1)!
2k+n
= -½(x)
k=1
(b) Without using the series form of Bessel's functions, show that
d
[x° Jc(x)] = x° Jc-1(x)
dx
Transcribed Image Text:3- (a) Complete k (-1)k 4 k! (k + n + 1)! 2k+n = -½(x) k=1 (b) Without using the series form of Bessel's functions, show that d [x° Jc(x)] = x° Jc-1(x) dx
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