20. (a) Obtain the Fourier series of f (x) = (T – x), 0 < x < T. (b) Derive the following the numerical series 1 1 1 | - .. 33 53 73 12' 1 1 + 33 1 1 1 3/2 73 53 73 93 113 128

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Problem 20: use SINE Fourier series, also there is a minor error in the formula given in
the book. The correct formula is as follows:
1
1
+
1
+
33 53 73
32
Transcribed Image Text:Problem 20: use SINE Fourier series, also there is a minor error in the formula given in the book. The correct formula is as follows: 1 1 + 1 + 33 53 73 32
20. (a) Obtain the Fourier series of f (x) = x (T – x), 0 <x< T.
(b) Derive the following the numerical series
.3
1
1 -
33
1
1
+...
73
53-
12
1
1 +
33
1
1
3/2 T3
1
+.
93
53
73
113
128
Transcribed Image Text:20. (a) Obtain the Fourier series of f (x) = x (T – x), 0 <x< T. (b) Derive the following the numerical series .3 1 1 - 33 1 1 +... 73 53- 12 1 1 + 33 1 1 3/2 T3 1 +. 93 53 73 113 128
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