Signals And SystemsC 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)

According to the question, we need to calculate the system response under different conditions.

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

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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