а) If the input to a linear time invariant system d²y(t) + 5 dt dy(t) + 4y(t) = x(t) dt2 Use the Fourier transforms method to determine its impulse response, h(t) and hence find the output, y(t) of the system when an input x(t) = e-tu(t) is applied to the system. %3D b) An LTI causal continuous time system is described by d²y(t) dx(t) dy(t) + 2 dt2 + 5y(t) = + 7x(t) dt dt Obtain the output y(t) using Laplace transform when x(t) = e-2tu(t) , y(0) = 1 and dy(0) = -1. dt

а) If the input to a linear time invariant system d²y(t) + 5 dt dy(t) + 4y(t) = x(t) dt2 Use the Fourier transforms method to determine its impulse response, h(t) and hence find the output, y(t) of the system when an input x(t) = e-tu(t) is applied to the system. %3D b) An LTI causal continuous time system is described by d²y(t) dx(t) dy(t) + 2 dt2 + 5y(t) = + 7x(t) dt dt Obtain the output y(t) using Laplace transform when x(t) = e-2tu(t) , y(0) = 1 and dy(0) = -1. dt

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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