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Find the Half-range Series of f(x) = { a) Fourier Series of even extension b) Fourier Series of odd extension nor Mazlin Binti Zahari 5 n-X, 0

Find the Half-range Series of f(x) = { a) Fourier Series of even extension b) Fourier Series of odd extension nor Mazlin Binti Zahari 5 n-X, 0

Advanced Engineering Mathematics
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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X 3. Find the Half-range Series of f(x) s(x) = { * * * * T-X, a) Fourier Series of even extension b) Fourier Series of odd extension nor Mazlin Binti Zahari 0<x< T ー<x<π <x 2 T ANSWER: f(x)= +ΕΣ 4 π n=1 ANSWER: f(x)= 4 T V by: 2 cos na 2 - (-1)" -1 n² 4 In=1 n° sin Cosnx sin nx nπ 2 Page 2
Transcribed Image Text:X 3. Find the Half-range Series of f(x) s(x) = { * * * * T-X, a) Fourier Series of even extension b) Fourier Series of odd extension nor Mazlin Binti Zahari 0<x< T ー<x<π <x 2 T ANSWER: f(x)= +ΕΣ 4 π n=1 ANSWER: f(x)= 4 T V by: 2 cos na 2 - (-1)" -1 n² 4 In=1 n° sin Cosnx sin nx nπ 2 Page 2
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