f(x) -ax e = 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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5) A Runction f Cx) define s the Fourier trons for mation as
follows:
Î (w) = | f (x) e
%3D
Similarly, the inverse Fourier trons formation of a known
function f lw) is found os :
f (x)
%3D
27
- O
by looking at this, find the Fourier trans form of f (w)
of the function given be low
and verify
for a >0
the shope of the function
f(x) given to you by calculating
the inverse fourier tronsform using the result you found
ax
e
f (x)
メ
Transcribed Image Text:5) A Runction f Cx) define s the Fourier trons for mation as follows: Î (w) = | f (x) e %3D Similarly, the inverse Fourier trons formation of a known function f lw) is found os : f (x) %3D 27 - O by looking at this, find the Fourier trans form of f (w) of the function given be low and verify for a >0 the shope of the function f(x) given to you by calculating the inverse fourier tronsform using the result you found ax e f (x) メ
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