43.75 A system is given in the s domain by F(s): s(s3+5.5s2+8.5s+46.75) tain the associated time domain representation of the system and plot the function against time. =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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43.75
7] A system is given in the s domain by F(s):
s(s3+5.5s2+8.5s+46.75)
Obtain the associated time domain representation of the system and plot the function against time.
=
Transcribed Image Text:43.75 7] A system is given in the s domain by F(s): s(s3+5.5s2+8.5s+46.75) Obtain the associated time domain representation of the system and plot the function against time. =
Expert Solution
Introduction

As per the question we are given the Laplace Transform of a time domain system f(t) as :

F(s) = 43.75/(s(s³ + 5.5s² + 8.5s + 46.75))

And we have to obtain the function f(t) by calculating the inverse Laplace Transform of F(s)

Then we have to plot the graph of f(t) vs t

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