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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Fourier Analysis:
Among the following choices, what is the fourier integral representation of the given function

-1 -3<t<0
1
0<t<3
0
otherwise
(1 - cos 3w) sin wt dw
Given: f(t) =
=
∞0
a.) f(t) = (1
2
b.) f(t) = -
S
WIL
2
c.) f(t) = ₁
WIT
d.) f(t) = S
2
WIT
-(1- cos 3w) sin wt dw
-(cos 3w) cos wt dw
-(sin 3w) sin wt dw
Transcribed Image Text:-1 -3<t<0 1 0<t<3 0 otherwise (1 - cos 3w) sin wt dw Given: f(t) = = ∞0 a.) f(t) = (1 2 b.) f(t) = - S WIL 2 c.) f(t) = ₁ WIT d.) f(t) = S 2 WIT -(1- cos 3w) sin wt dw -(cos 3w) cos wt dw -(sin 3w) sin wt dw
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