Let f(r) be a function of period 2n such that { T - x, 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let f(r) be a function of period 2n such that
{
* - x, 0<a <T
f(r) =
%3D
0,
a) Sketch a graph of f(x) in the interval -27 <r < 2n
b) Show that the Fourier series for f(x) in the interval 0 <x < 2n is
1
cos 3.r +
32
cos 5r+
52
COs r +
4
1
+ sin r + sin 2.r + sin 3r +
1
1
sin 4.r +...
4
3
Transcribed Image Text:Let f(r) be a function of period 2n such that { * - x, 0<a <T f(r) = %3D 0, a) Sketch a graph of f(x) in the interval -27 <r < 2n b) Show that the Fourier series for f(x) in the interval 0 <x < 2n is 1 cos 3.r + 32 cos 5r+ 52 COs r + 4 1 + sin r + sin 2.r + sin 3r + 1 1 sin 4.r +... 4 3
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