A periodic function f (x) is defined as the following function: ーTくX<- 2 くXく 2 I}= (x)S

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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A periodic function f (x) is defined as the following function:
ーTくX<-
2
くXく
2
I}= (x)S
<x<T
and
f(x)= f (x+2r)
(a)
Sketch a graph of this function over the interval -3n <x<3x.
Transcribed Image Text:A periodic function f (x) is defined as the following function: ーTくX<- 2 くXく 2 I}= (x)S <x<T and f(x)= f (x+2r) (a) Sketch a graph of this function over the interval -3n <x<3x.
(b)
Solve the given the function and show that its Fourier series is given by,
cos (2n –1)x
S (x) =+2O"
2n –1
n=1
Transcribed Image Text:(b) Solve the given the function and show that its Fourier series is given by, cos (2n –1)x S (x) =+2O" 2n –1 n=1
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