ECE220- SIGNAL AND SYSTEMS
CA3 test- Assignment Based
Section-E2001
Max Marks- 30
Date of allotment: - November 27, 2021 (SATURDAY)
Date of submission: - December 6, 2021 (MONDAY)
ONLINE MODE SUBMISSION
 Copied assignments will be given zero marks
 No submission will be consider after due date
 On each page of your assignment, keep name as well as roll number
 After writing the answers of all questions, take snapshot of that answer sheets and
make one single file as word or pdf
Q1: Find the Laplace transform of the signal: x ( t )  e 2 t u ( t )  e 3t u ( t ) and find its ROC.
(5)
Q2: Verify the initial value theorem for the following functions:
(5)
x ( t )  4  2e 3t
Q3: Using the properties of Laplace transform, find the Laplace transform of the signals:
(5)
x ( t )  2e 6 t u ( t )  10e 4 t u ( t )
Q4: Find all the possible inverse Laplace Transform for
1
X(s) 
(s  1)(s  2)(s  3)
Q5: A system is described by the differential equation:
2
d y( t )
dt
2
5
dy( t )
 6 y( t )  x ( t )
dt
dy(0)
 2, y(0)  1, x ( t )  u ( t )
dt
Find the transfer function and output signal y(t)?
For the initial conditions,
(5)
(10)