235 óf the textbc (d) F{e* ,5iz-az²

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Could you help me solve part D?

Use the definition or existing results given by the textbook to compute the following
Fourier transforms. Show details of your calculations:
(a) F{e-ul«}, «
a > 0.
|피, if la < 1,
(b) F{f(x)}, where f(x) =
0,
otherwise.
(c) F{-h(x+ 1) + 2h(x) – h(x – 1)}, where h(x) is the unit step function defined on page
235 of the textbook.
(d) F{e*-a=*}.
5ix-ar
Transcribed Image Text:Use the definition or existing results given by the textbook to compute the following Fourier transforms. Show details of your calculations: (a) F{e-ul«}, « a > 0. |피, if la < 1, (b) F{f(x)}, where f(x) = 0, otherwise. (c) F{-h(x+ 1) + 2h(x) – h(x – 1)}, where h(x) is the unit step function defined on page 235 of the textbook. (d) F{e*-a=*}. 5ix-ar
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