A. Find the inverse Laplace transform of the following X(s): s + 1 X(s) X(s) %3D s(s + 1)² si + 4s + 13

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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A. Find the inverse Laplace transform of the following X(s):
s + 1
X(s) =
X(s) =
s(s + 1)?
B. Find zeros and poles of the following X(s):
s' + 4s + 13
(s² – 1)(s² + 1)
X(s)
%3D
s3 + 2s² – 8s + 5
C. Find the z-transform of the following x[n]:
x[n] = (}, 1, – }}
x{n] = 28{n + 2] – 38[n – 2]
x[n] = 3(– )"u[ n] – 2(3)"u[ – n – 1]
%3D
-
Transcribed Image Text:A. Find the inverse Laplace transform of the following X(s): s + 1 X(s) = X(s) = s(s + 1)? B. Find zeros and poles of the following X(s): s' + 4s + 13 (s² – 1)(s² + 1) X(s) %3D s3 + 2s² – 8s + 5 C. Find the z-transform of the following x[n]: x[n] = (}, 1, – }} x{n] = 28{n + 2] – 38[n – 2] x[n] = 3(– )"u[ n] – 2(3)"u[ – n – 1] %3D -
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