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The input and the output of a stable and causal LTI system S are related by the difference d²y(t) dt? +6y(t) = dt dx(t) +4x(t) dt equation: 1) Determine the impulse response h(t) of the system S. 2) What is the output of S when the input is : x(t) = e"u(t) – te"u(t)? -3t 3) What is the output of S when the input is : x(t)= e"u(t) +e"u(t)?

The input and the output of a stable and causal LTI system S are related by the difference d²y(t) dt? +6y(t) = dt dx(t) +4x(t) dt equation: 1) Determine the impulse response h(t) of the system S. 2) What is the output of S when the input is : x(t) = e"u(t) – te"u(t)? -3t 3) What is the output of S when the input is : x(t)= e"u(t) +e"u(t)?

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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The input and the output of a stable and causal LTI system S are related by the difference d²y(t) dt? +6y(t) = dt dx(t) +4x(t) dt equation: 1) Determine the impulse response h(t) of the system S. 2) What is the output of S when the input is : x(t) = e"u(t) – te"u(t)? -3t 3) What is the output of S when the input is : x(t)= e"u(t) +e"u(t)?
Transcribed Image Text:The input and the output of a stable and causal LTI system S are related by the difference d²y(t) dt? +6y(t) = dt dx(t) +4x(t) dt equation: 1) Determine the impulse response h(t) of the system S. 2) What is the output of S when the input is : x(t) = e"u(t) – te"u(t)? -3t 3) What is the output of S when the input is : x(t)= e"u(t) +e"u(t)?
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