Find Ike Fourier Csine series of f(x) = Dinz (1) "1 n²-1 Answer Six C NIF 류 00 > n=2 as nx }} on [oi] NIE 3-4 14 co(20x) { Mel (2m) ²-1 THE

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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Find Ike Fourier asime series of f(x) = Dinz
Answer
Sinx
C
NIF
류
@0641
n²-1
Z
n=2
as nx
NIE
on loi
THE
00
co(2mx)
Σ
mel (2m) ²-1
737-7-7/174
Transcribed Image Text:Find Ike Fourier asime series of f(x) = Dinz Answer Sinx C NIF 류 @0641 n²-1 Z n=2 as nx NIE on loi THE 00 co(2mx) Σ mel (2m) ²-1 737-7-7/174
Expert Solution
Step 1

Let f(x) is an even function with period 2L, then the Fourier cosine series is defined to be

 f(x)=c02+n-1cncosnπxL

where cn=2L0Lf(x)cosnπxLdx and c0=1L0Lf(x)dx  n0.

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