12.15 The Fourier series for the function y(x) = \x( in the range-m x < π is 4cos(2m + 1)x y(x) = 2-π (2m + 1)2 By integrating this equation term by term from 0 to x, find the function g(x) whose Fourier series is 4 sin(2m+ 1)x 2m + 1) -0 (In Using these results, determine, as far as possible by inspection, the form of the functions of which the following are the Fourier series: cos θ + 0 cos 3 θ + cos 504 . . . ; 25 27 125 し、9 I You may find it helpful to first set x-0 in the quoted result and so obtain values for S.-Σ(2m + 1)-2 and other sums derivable from it.]
12.15 The Fourier series for the function y(x) = \x( in the range-m x < π is 4cos(2m + 1)x y(x) = 2-π (2m + 1)2 By integrating this equation term by term from 0 to x, find the function g(x) whose Fourier series is 4 sin(2m+ 1)x 2m + 1) -0 (In Using these results, determine, as far as possible by inspection, the form of the functions of which the following are the Fourier series: cos θ + 0 cos 3 θ + cos 504 . . . ; 25 27 125 し、9 I You may find it helpful to first set x-0 in the quoted result and so obtain values for S.-Σ(2m + 1)-2 and other sums derivable from it.]
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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![12.15 The Fourier series for the function y(x) = \x( in the range-m
x < π is
4cos(2m + 1)x
y(x) = 2-π
(2m + 1)2
By integrating this equation term by term from 0 to x, find the function g(x) whose
Fourier series is
4 sin(2m+ 1)x
2m + 1)
-0 (In
Using these results, determine, as far as possible by inspection, the form of the
functions of which the following are the Fourier series:
cos θ + 0 cos 3 θ +
cos 504 . . . ;
25
27
125
し、9
I You may find it helpful to first set x-0 in the quoted result and so obtain values
for S.-Σ(2m + 1)-2 and other sums derivable from it.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2ff451a9-21aa-4558-99ac-07768e62b79d%2Fa2f48866-eb70-4f7f-aadb-ae65d5ff7be3%2Foglhjh8.jpeg&w=3840&q=75)
Transcribed Image Text:12.15 The Fourier series for the function y(x) = \x( in the range-m
x < π is
4cos(2m + 1)x
y(x) = 2-π
(2m + 1)2
By integrating this equation term by term from 0 to x, find the function g(x) whose
Fourier series is
4 sin(2m+ 1)x
2m + 1)
-0 (In
Using these results, determine, as far as possible by inspection, the form of the
functions of which the following are the Fourier series:
cos θ + 0 cos 3 θ +
cos 504 . . . ;
25
27
125
し、9
I You may find it helpful to first set x-0 in the quoted result and so obtain values
for S.-Σ(2m + 1)-2 and other sums derivable from it.]
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