The periodic function 0 < x and x < T T
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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Transcribed Image Text:The periodic function
1
0 <¤ and x < T
f (æ) =
3
T <x and < 2 T
f (x +2 7)
has period 2 T and its graph is displayed below.
otherwise
4
у 2-
1
2%
-1
The function can be approximate by the Fourier series
f (x) = ao +Eo0, (an cos (n x)+ bn sin (n x))
Ln=1
Calculate the coefficients of the Fourier series and enter them below in Maple syntax.
ao =
a2k–1=
a2k =
b2k–1=
b2k =
for k = 1, 2, ...
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