Putting •7/2 •7/2 In = cos2"0 de and Jn = 0? cos2"e de for any non-negative integer n, show the recursion formula In = n(2n – 1)Jn-1 – 2n² Jn. Use then the formula •7/2 1.3..(2n – 1) A 2.4... (2n) cos2" e de = %3D 2
Putting •7/2 •7/2 In = cos2"0 de and Jn = 0? cos2"e de for any non-negative integer n, show the recursion formula In = n(2n – 1)Jn-1 – 2n² Jn. Use then the formula •7/2 1.3..(2n – 1) A 2.4... (2n) cos2" e de = %3D 2
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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Transcribed Image Text:Putting
•7/2
In
cos2"0 de and Jn =
0? cos2" e de
for any non-negative integer n, show the recursion formula
In
n(2n – 1)Jn-1 - 2n² Jr.
Use then the formula
.찌2
1.3.. (2n – 1) A
cos2" 0 de =
2.4..(2n)
2
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