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Problem 1 Consider the following LTI system. d³y d²y dy du +6- +13- == -+u, dt3 dt² dt dt t≥ 0 Consider input to the system is (t) = (1-e) 1(t) and initial conditions are y(0¯) = 1, y'(0) = 1 and y"(0) = 0. (a) Find the zero-state response in time domain. (b) Find the zero-input response in time domain. (c) Total response in time domain.

Problem 1 Consider the following LTI system. d³y d²y dy du +6- +13- == -+u, dt3 dt² dt dt t≥ 0 Consider input to the system is (t) = (1-e) 1(t) and initial conditions are y(0¯) = 1, y'(0) = 1 and y"(0) = 0. (a) Find the zero-state response in time domain. (b) Find the zero-input response in time domain. (c) Total response in time domain.

Introductory Circuit Analysis (13th Edition)
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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Problem 1 Consider the following LTI system. d³y d²y dy du +6- +13- == -+u, dt3 dt² dt dt t≥ 0 Consider input to the system is (t) = (1-e) 1(t) and initial conditions are y(0¯) = 1, y'(0) = 1 and y"(0) = 0. (a) Find the zero-state response in time domain. (b) Find the zero-input response in time domain. (c) Total response in time domain.
Transcribed Image Text:Problem 1 Consider the following LTI system. d³y d²y dy du +6- +13- == -+u, dt3 dt² dt dt t≥ 0 Consider input to the system is (t) = (1-e) 1(t) and initial conditions are y(0¯) = 1, y'(0) = 1 and y"(0) = 0. (a) Find the zero-state response in time domain. (b) Find the zero-input response in time domain. (c) Total response in time domain.
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