dy(x) 1. A causal LTI system is described by the following differential equation: 4- dt (1) Calculate the impulse response h(t) of the system. (2) Based on h(t), determine if the system is stable or not. Justify. (3) If x(t) = eu(t), find the output y(t). Note: use Fourier transform +2y(t) = x(t)

dy(x) 1. A causal LTI system is described by the following differential equation: 4- dt (1) Calculate the impulse response h(t) of the system. (2) Based on h(t), determine if the system is stable or not. Justify. (3) If x(t) = eu(t), find the output y(t). Note: use Fourier transform +2y(t) = x(t)

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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Question

1. A causal LTI system is described by the following differential equation: 4- +2y(t) = x(t)
dy(x)
dt
(1) Calculate the impulse response h(t) of the system.
(2) Based on h(t), determine if the system is stable or not. Justify.
(3) If x(t) = e 'u(t), find the output y(t).
Note: use Fourier transform

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