5. Write the Fourier Sine series for f(x)= π−x (0

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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Please answer both Questions.

5. Write the Fourier Sine series for f(x) = -x (0 < x < π).
Ans. 22
[1 if 0<x<h
if
h<x< π
Ans.
6. Let ʼn be a given number in the interval (0,7). Find the Fourier cosine
series of the function
f(x)=
f(x)=
n=1
2h
2²/11/2+2
π
=
sinnh
nh
n=1
sin nx
n
COS NX
Transcribed Image Text:5. Write the Fourier Sine series for f(x) = -x (0 < x < π). Ans. 22 [1 if 0<x<h if h<x< π Ans. 6. Let ʼn be a given number in the interval (0,7). Find the Fourier cosine series of the function f(x)= f(x)= n=1 2h 2²/11/2+2 π = sinnh nh n=1 sin nx n COS NX
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