The Fourier cosine series of the function is given by where Co= and C₁ = f(x) = 2x 0 < x < π/2 T 0 if π/2

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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The Fourier cosine series of the function
is given by
where
and
Cg =
C₁ =
-{₁
f(x) =
21
if 0 < x < π/2
T
0 if π/2<x<T
30
f(x) ~ co + ₂ cos (n z)
n=1
Transcribed Image Text:The Fourier cosine series of the function is given by where and Cg = C₁ = -{₁ f(x) = 21 if 0 < x < π/2 T 0 if π/2<x<T 30 f(x) ~ co + ₂ cos (n z) n=1
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Follow-up Question
The Fourier cosine series of the function
is given by
where Co =
and
Cn
||
8
nπ
2
22
nπ
f(x) =
2x
0 < x < π/2
π
0 if π/2 < x < T
f(x) ~ co + Σ
n=1
Cn cos (nx)
Transcribed Image Text:The Fourier cosine series of the function is given by where Co = and Cn || 8 nπ 2 22 nπ f(x) = 2x 0 < x < π/2 π 0 if π/2 < x < T f(x) ~ co + Σ n=1 Cn cos (nx)
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