Signals And SystemsE Consider the 1* -order continuous-time (CT) LTI dynamical system givenby the input-output differential equationdy(t)= -3y(t) + x(t)dty(0-) =0.Let the following symbols be used:and the stateY'm(0): impulse responseYzın (t): zero-input responseVzsa (1): zero-state responseYea (1): complete responseYesa () : unit-step responseYus (1): homogeneous solutionYs 1): particular solutionLet 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 anda)b)c)letdy(t)= -3y(t) – 28(t) + 3u(t)dty(0") = -5.Fill in the blanks in Table 3.Table 1Yzz(1)Yzz (1)Ycr(1)Table 2Yese (1)Yzz(1)Table 3Yz (1)Ys (1) d)Consider the input-output differential equation:+Sy(t) = 3 de(1)didrdiPerform the necessary operations on the above equation in order toput it into the appropriate form such that you can draw the first-canonical form of the block-diagram model of this equation.e)Draw the first-canonical form of the block-diagram model.

"We will solve only the first part of the solution". Given the 1st order continuous-time LTI system…

Consider the 1* -order continuous-time (CT) LTI dynamical system given by the input-output differential equation dy(t) dt y(0-) -0. Let the following symbols be used: = -3y(t) + x(t) and the state Yn1): impulse response Yese () : 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. Yzın(t): zero-input response Yzsa (1): zero-state response Yea((): complete response a) b) Let x(1) = u(t), the unit-step signal. Fill in the blanks in Table 2. c) Now change the input and the state in the above dynamical system and let

Consider the 1* -order continuous-time (CT) LTI dynamical system given by the input-output differential equation dy(t) dt y(0-) -0. Let the following symbols be used: = -3y(t) + x(t) and the state Yn1): impulse response Yese () : 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. Yzın(t): zero-input response Yzsa (1): zero-state response Yea((): complete response a) b) Let x(1) = u(t), the unit-step signal. Fill in the blanks in Table 2. c) Now change the input and the state in the above dynamical system and let

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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