1) Let f(x) = |x|. Determine the fourier series given by: %3D f(x) = bn cos(nrx) n=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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1) Let f(x) = |xl. Determine the fourier series given by:
f(x) = bn cos(nrx)
n=0
2) Let g(x) = x(1-x). Determine the fourier series given by:
g(x) =
an sin(nax)
n=1
3) Let h(x) = exp(x). Determine the fourier series given by:
(2n — 1)т
-
h(x) = an sin
2
n=1
Transcribed Image Text:1) Let f(x) = |xl. Determine the fourier series given by: f(x) = bn cos(nrx) n=0 2) Let g(x) = x(1-x). Determine the fourier series given by: g(x) = an sin(nax) n=1 3) Let h(x) = exp(x). Determine the fourier series given by: (2n — 1)т - h(x) = an sin 2 n=1
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