5.3. By setting k = , or otherwise, show that 1 (18) (2m +1)2 m=0 where n 2m + 1, i.e. expression (18) corresponds to a sum of n2 only over odd n.
5.3. By setting k = , or otherwise, show that 1 (18) (2m +1)2 m=0 where n 2m + 1, i.e. expression (18) corresponds to a sum of n2 only over odd n.
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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Question
solve 5.3 (using k(pi-k)/2) and setting k =pi/2 or by your own methods if you have easier ones
Transcribed Image Text:5.3. By setting k = , or otherwise, show that
1
(18)
(2m +1)2
m=0
where n 2m + 1, i.e. expression (18) corresponds to a sum of n2 only over odd n.
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