Problem 15.11 For the following functions f(x) on the interval -L

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Problem 15.11
For the following functions f(x) on the interval -L < x < L, determine the
coefficients an, n = 0, 1, 2,... and bn, n E N of the Fourier series expansion.
(a) f(x) = 1.
(b) f(x) = 2 + sin (Z).
1
x < 0
(c) f(x) = {
0
x > 0.
(d) f(x) = x.
Transcribed Image Text:Problem 15.11 For the following functions f(x) on the interval -L < x < L, determine the coefficients an, n = 0, 1, 2,... and bn, n E N of the Fourier series expansion. (a) f(x) = 1. (b) f(x) = 2 + sin (Z). 1 x < 0 (c) f(x) = { 0 x > 0. (d) f(x) = x.
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