Problem 2) Find the Fourier senes of the following functions: part (a) f Is 2π-periodic with f(x) = x, x=(0,2x) Part (b) f Is 2π-periodic with f(x)=1x1 xe-z) part (c) f IS 2π- -periodic with f(x) = sinx, x=(-1,π) Part (d) f 15 2π- c-periodic with E × ε -^-) f(x) = x = (-1, 0) X = (0, 1) part le) f is 2x-periodic with f(x)= |sinxl, XE (0,4%) part (F) f Is 2π-periodic with f(x) = x² χε (0,1) part (5) f is 2-periodic with f(x) = ex Xε (0,2x)
Problem 2) Find the Fourier senes of the following functions: part (a) f Is 2π-periodic with f(x) = x, x=(0,2x) Part (b) f Is 2π-periodic with f(x)=1x1 xe-z) part (c) f IS 2π- -periodic with f(x) = sinx, x=(-1,π) Part (d) f 15 2π- c-periodic with E × ε -^-) f(x) = x = (-1, 0) X = (0, 1) part le) f is 2x-periodic with f(x)= |sinxl, XE (0,4%) part (F) f Is 2π-periodic with f(x) = x² χε (0,1) part (5) f is 2-periodic with f(x) = ex Xε (0,2x)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question

Transcribed Image Text:Problem 2) Find the Fourier senes of the following functions:
part (a)
f
Is 2π-periodic with
f(x) = x,
x=(0,2x)
Part (b)
f
Is 2π-periodic with
f(x)=1x1
xe-z)
part (c) f
IS 2π-
-periodic with
f(x) = sinx, x=(-1,π)
Part
(d) f 15 2π-
c-periodic with
E
× ε -^-)
f(x) =
x = (-1, 0)
X = (0, 1)
part le) f is 2x-periodic with
f(x)= |sinxl,
XE (0,4%)
part
(F) f
Is 2π-periodic with
f(x) = x²
χε (0,1)
part (5) f is 2-periodic with
f(x) = ex
Xε (0,2x)
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