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4. Consider the following function: -I – 2, -2

4. Consider the following function: -I – 2, -2

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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4. Consider the following function: -I – 2, –2 < x < -1 f(x) %3D 〈프, |-1<r<1 2 r, 1< «< 2. (i) Sketch the graph of f and find its Fourier series on [-2, 2]. (ii) Use the obtained series to deduce that: and (2k 1)2 (2k – 1) 96 A-1 A=1
Transcribed Image Text:4. Consider the following function: -I – 2, –2 < x < -1 f(x) %3D 〈프, |-1<r<1 2 r, 1< «< 2. (i) Sketch the graph of f and find its Fourier series on [-2, 2]. (ii) Use the obtained series to deduce that: and (2k 1)2 (2k – 1) 96 A-1 A=1
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