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Q4. A continuous-time LTI system is described by the following differential equation: (dy(t) / dt) - y(t) = x(t) 1. Compute its impulse response h(t). 2. Use the convolution theorem to compute the output response y(t) when the input is given by x(t) = 0 (t<0) , 1 (0<= t < 2) and e-t+2 (2<= t) 3. Plot the output response y(t).

Q4. A continuous-time LTI system is described by the following differential equation: (dy(t) / dt) - y(t) = x(t) 1. Compute its impulse response h(t). 2. Use the convolution theorem to compute the output response y(t) when the input is given by x(t) = 0 (t<0) , 1 (0<= t < 2) and e-t+2 (2<= t) 3. Plot the output response y(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
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Q4.
A continuous-time LTI system is described by the following differential equation:

(dy(t) / dt) - y(t) = x(t)

1. Compute its impulse response h(t).

2. Use the convolution theorem to compute the output response y(t)
when the input is given by

x(t) = 0 (t<0) , 1 (0<= t < 2) and e-t+2 (2<= t)

3. Plot the output response y(t).

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