The input and the output of a stable and causal LTI system are related by the dif- ferential equation d²y(t) dt² +6dy(t) dt + 8y(t) = 2x(t) (a) Find the impulse response of this system. (b) What is the response of this system if x(t) = te−2tu(t)? (c) Repeat part (a) for the stable and causal LTI system described by the equation d²y(t) +√2dy(t) ¸d²x(t) + y(t) == 2 - 2x(t) dt² dt dt²

The input and the output of a stable and causal LTI system are related by the dif- ferential equation d²y(t) dt² +6dy(t) dt + 8y(t) = 2x(t) (a) Find the impulse response of this system. (b) What is the response of this system if x(t) = te−2tu(t)? (c) Repeat part (a) for the stable and causal LTI system described by the equation d²y(t) +√2dy(t) ¸d²x(t) + y(t) == 2 - 2x(t) dt² dt dt²

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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