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Find the Fourier series for the function X, 0x

Find the Fourier series for the function X, 0x

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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Find the Fourier series for the function X, 0x <L f(x) = f(x+2L) = f(x). 2L-x, L<x ≤ 2L' Use this result to find Fourier series for the following functions: - (b) f(x) = L |x|, −L ≤ x ≤ L, f₁(x + 2L) = f₁(x) - (c) f2(x) = 2L- |2L − x|, 0 < x < 4L, ƒ2(x + 4L) = ƒ2(x) - - (d) f(x) = x, −L < x < L, f3(L + x) = ƒ³(L − x), ƒ³(x + 4L) = ƒ³(x) -
Transcribed Image Text:Find the Fourier series for the function X, 0x <L f(x) = f(x+2L) = f(x). 2L-x, L<x ≤ 2L' Use this result to find Fourier series for the following functions: - (b) f(x) = L |x|, −L ≤ x ≤ L, f₁(x + 2L) = f₁(x) - (c) f2(x) = 2L- |2L − x|, 0 < x < 4L, ƒ2(x + 4L) = ƒ2(x) - - (d) f(x) = x, −L < x < L, f3(L + x) = ƒ³(L − x), ƒ³(x + 4L) = ƒ³(x) -
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