Let the following symbols be used: Ya1): impulse response Yesa(1) : unit-step response Ys (): homogeneous solution Yzm(): zero-input response Yzsz (1): zero-state response Yal): complete response Y„1): particular solution Let x(1) = 5(1), the Dirac's delta signal. Fill in the blanks in Table 1. Let x(t) = u(t), the unit-step signal. Fill in the blanks in Table 2. Now change the input and the state in the above dynamical system and a) b) c) let dy(t) = -3y(t) – 28(t) + 3u(t) dt y(0") = -5.
Let the following symbols be used: Ya1): impulse response Yesa(1) : unit-step response Ys (): homogeneous solution Yzm(): zero-input response Yzsz (1): zero-state response Yal): complete response Y„1): particular solution Let x(1) = 5(1), the Dirac's delta signal. Fill in the blanks in Table 1. Let x(t) = u(t), the unit-step signal. Fill in the blanks in Table 2. Now change the input and the state in the above dynamical system and a) b) c) let dy(t) = -3y(t) – 28(t) + 3u(t) dt y(0") = -5.
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Signals And Systems
C

Transcribed Image Text:Consider the 1* -order continuous-time (CT) LTI dynamical system given
by the input-output differential equation
dy(t)
= -3y(t) + x(t)
dt
y(0-) =0.
Let the following symbols be used:
and the state
Y'm(0): impulse response
Yzın (t): zero-input response
Vzsa (1): zero-state response
Yea (1): complete response
Yesa () : unit-step response
Yus (1): homogeneous solution
Ys 1): particular solution
Let x(1) = 8(1), the Dirac's delta signal. Fill in the blanks in Table 1.
Let x(t) = u(t), the unit-step signal. Fill in the blanks in Table 2.
Now change the input and the state in the above dynamical system and
a)
b)
c)
let
dy(t)
= -3y(t) – 28(t) + 3u(t)
dt
y(0") = -5.
Fill in the blanks in Table 3.
Table 1
Yzz(1)
Yzz (1)
Ycr(1)
Table 2
Yese (1)
Yzz(1)
Table 3
Yz (1)
Ys (1)
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