a) Find the Fourier series of the following function. 1 x² if π < x < 0 if 0 < x < T 0175 Show Transcribed Text b) From the series show that : = 1+ 1 + + + + + 2² 3² 4² + ...
a) Find the Fourier series of the following function. 1 x² if π < x < 0 if 0 < x < T 0175 Show Transcribed Text b) From the series show that : = 1+ 1 + + + + + 2² 3² 4² + ...
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
![a) Find the Fourier series of the following
function.
22
ㅠ
if - < x < 0
if 0 < x < T
b) From the series show that :
6
Show Transcribed Text
=1+
1
22
+
- 18
3²
+
4²
***](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fafa40b4c-6446-4954-81d5-dba11661f543%2F2bf6bf5e-79bb-4f43-a8f4-7038f5ec601e%2Fcraq6kb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:a) Find the Fourier series of the following
function.
22
ㅠ
if - < x < 0
if 0 < x < T
b) From the series show that :
6
Show Transcribed Text
=1+
1
22
+
- 18
3²
+
4²
***
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