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

Find the Fourier series expansion of the given piecewise function:

1
-5<t<0
is
1+t 0<t<5
The Fourier Series expansion of f(t)
(- 1)^ – 1/n] cos -
(- 1)"
+
nnt
sin
22-
nnt
f(t)
– 1)"
2
5
זח
(- 1)"
00
nnt
sin
5
f(t)
+ 5
8
(– 1)"
9.
+
4
[I(-1)" – 1/n] cos
2 2
nnt
sin
5
nnt
f(t)
זח
9.
+
nnt
Cos
5
f(t)
Transcribed Image Text:1 -5<t<0 is 1+t 0<t<5 The Fourier Series expansion of f(t) (- 1)^ – 1/n] cos - (- 1)" + nnt sin 22- nnt f(t) – 1)" 2 5 זח (- 1)" 00 nnt sin 5 f(t) + 5 8 (– 1)" 9. + 4 [I(-1)" – 1/n] cos 2 2 nnt sin 5 nnt f(t) זח 9. + nnt Cos 5 f(t)
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