Q4) An LTI system is characterized by the differentialequation below:d²= y(t) + 5 = y(t)+6y(t) = x(t)dt2dta) Write the characteristic equation.b) Find the characteristic roots.c) Write the form of the zero-input response.d) Write the final zero-input response if yzı(0)=2 anddyzi(0)/dt=-1.e) Plot the final zero-input response in Matlab/Octaveand select the correct graph on the side:f) What are the characteristic modes for this system?1.510.50-0.51 2 3 4(1)0.50-0.5-1-1.5(2)401234(3)1.50.5234(4)

Answered: Q4) An LTI system is characterized by…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

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Q4) An LTI system is characterized by the differential
equation below:
d²
= y(t) + 5 = y(t)+6y(t) = x(t)
dt2
dt
a) Write the characteristic equation.
b) Find the characteristic roots.
c) Write the form of the zero-input response.
d) Write the final zero-input response if yzı(0)=2 and
dyzi(0)/dt=-1.
e) Plot the final zero-input response in Matlab/Octave
and select the correct graph on the side:
f) What are the characteristic modes for this system?
1.5
1
0.5
0
-0.5
1 2 3 4
(1)
0.5
0
-0.5
-1
-1.5
(2)
4
01234
(3)
1.5
0.5
234
(4)

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LTI system characterized by Diff. Equation: $\frac{d^{2}}{{dt}^{2}} y (t) + 5 \frac{d}{dt} y (t) + 6 y (t) = x (t)$

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