Find the Fourier Series for the following periodic functions 0 Ans. T -² ( cos(x) + con(32) + 125 cos(52) +..) 4 T + sin(x)---sin(2x) + sin(3x) - ... 3

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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Find the Fourier Series for the following periodic functions
-R
4
T
R
0
Ans.
Ans.
T 2
4
+
(
T
1
cos(x) +-cos(3x)+cos(5x)+...
25
+= cos(3x) +
1/2 cos(5x) + ...)
1
sin(2x)+sin(3x)-...
3
sin(x)---sin
2
4
1
1
(cos(x) += cos(3x)+cos(5x) +...
π
9
25
+2 sin(x)+sin(3x)+sin(5x)+..
5
Transcribed Image Text:Find the Fourier Series for the following periodic functions -R 4 T R 0 Ans. Ans. T 2 4 + ( T 1 cos(x) +-cos(3x)+cos(5x)+... 25 += cos(3x) + 1/2 cos(5x) + ...) 1 sin(2x)+sin(3x)-... 3 sin(x)---sin 2 4 1 1 (cos(x) += cos(3x)+cos(5x) +... π 9 25 +2 sin(x)+sin(3x)+sin(5x)+.. 5
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