
EBK THE ANALYSIS AND DESIGN OF LINEAR C
8th Edition
ISBN: 9781119228226
Author: Toussaint
Publisher: YUZU
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2. Find the inverse Laplace transform of the following s -domain signals.
1
a) Y(s)
=
(s+4)²(s+3)
S+7
b) Y(s)
=
(s²+6s+13)
s²+2s+2
c) Y(s)
=
(s+2)2-32
d) Y(s) = (1-es - e-3s)
$2
4. Answer the following questions. Take help from ChatGPT to answer these questions
(if you need). But write the answers briefly using your own words with no more than
two sentences and make sure you check whether ChatGPT is giving you the
appropriate answers in our context.
A) What is the zero-input response?
B) What is the zero-state response?
C) What are pole, zero, and residue in the context of our class?
D) What are the different methods for finding the inverse Laplace transform?
Which one we used in this class?
3. You have come to encounter an LTI system. You have no idea how the system
behaves. So, you decide to drive the system with a particular input and measure the
output. When you put the input u(t) = et 1(t), you find that the output y(t) =
(1-e) 1(t). You can assume zero initial conditions. Now, find the transfer
function of the system.
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