7. Answer (a) (c) for f(x) = cos(x/4), ―π
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please show a step-by-step solution. Do not skip steps, and explain your steps. Write it on paper, preferably. Make sure the work is clear.

Transcribed Image Text:7. Answer (a) (c) for f(x) = cos(x/4), ―π<x< . Use the Fourier coefficients to obtain
1
(-1) k
explicit values for the series
k=1
"
16k² 1
∞
Σ
k=1
16k² 1'
and Σ
k=1
1
(16k² − 1)²
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