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2.1 Period T Find the Fourier series for each of the following periodic functions up to the fourth harmonic 5 a) f(x) = 3 0 < x < 1 1 < x < 2 2 ≤ x <3 f(x+3) = f(x)

2.1 Period T Find the Fourier series for each of the following periodic functions up to the fourth harmonic 5 a) f(x) = 3 0 < x < 1 1 < x < 2 2 ≤ x <3 f(x+3) = f(x)

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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2 Fourier series 2.1 Period T Find the Fourier series for each of the following periodic functions up to the fourth harmonic 5 a) f(x) = 3 b) f(x) = 2π c) f(t) = -(t-1)² d) f(t) = sin t e) f(x) = 2x f) f(x) = 1.23 0 0 ≤ x < 1 1 < x < 2 2<x<3 0≤x<T T≤ x < 2T 0 ≤ t < 2, -<t<, 0<x<T π ≤ x < 2π 0≤ I <3 3 < x < 4 f(x+3) = f(x) f(x+2) = f(x) f(t + 2) = f(t) f(t + π) = f(t) f(x+2) = f(x) f(x + 4) = f(x)
Transcribed Image Text:2 Fourier series 2.1 Period T Find the Fourier series for each of the following periodic functions up to the fourth harmonic 5 a) f(x) = 3 b) f(x) = 2π c) f(t) = -(t-1)² d) f(t) = sin t e) f(x) = 2x f) f(x) = 1.23 0 0 ≤ x < 1 1 < x < 2 2<x<3 0≤x<T T≤ x < 2T 0 ≤ t < 2, -<t<, 0<x<T π ≤ x < 2π 0≤ I <3 3 < x < 4 f(x+3) = f(x) f(x+2) = f(x) f(t + 2) = f(t) f(t + π) = f(t) f(x+2) = f(x) f(x + 4) = f(x)
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