t < 0 1 Consider a function given by the following f(t) =3 Ae-at t>0 %3D Now find f(w) for these above function. (Hint: breakdown the integral .and a is a constant Now the Inverse Fourier Transformation is defined by f(t)= | f(w)ewt 2. Now using this definition of the inverse transformation and using your results from part(1), findf(t).

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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Solve 1.and please try to solve 2 if possible..as both are related.

t < 0
1 Consider a function given by the following f(t) =3 Ae-at t>0
%3D
Now find f(w) for these above function. (Hint: breakdown the integral .and a is a constant
Now the Inverse Fourier Transformation is defined by f(t)= | f(w)ewt
2. Now using this definition of the inverse transformation and using your results
from part(1), findf(t).
Transcribed Image Text:t < 0 1 Consider a function given by the following f(t) =3 Ae-at t>0 %3D Now find f(w) for these above function. (Hint: breakdown the integral .and a is a constant Now the Inverse Fourier Transformation is defined by f(t)= | f(w)ewt 2. Now using this definition of the inverse transformation and using your results from part(1), findf(t).
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