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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.

Power System Analysis and Design (MindTap Course List)
Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter5: Transmission Lines: Steady-state Operation
Section: Chapter Questions
Problem 5.7MCQ
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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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