Input output relationship of a continuous time linear time invariant system is representedby a differential equation given as?2?(?)??2 − 4?(?) = ?(?)where ?(?) denotes the input while the output is denoted by ?(?). The initial conditions are given as ?(0) = 3and ??(?)??|?=0 = 2. Find the output of this system when ?(?) = sin(2?) is applied as an input. Input output relationship of a continuous time linear time invariant system is representedby a differential equation given asd?y(t)di- 4y(t) = x(t)where x(t) denotes the input while the output is denoted by y(t). The initial conditions are given as y(0) = 32le=0 = 2. Find the output of this system when x(t) = sin(2t) is applied as an input.dy(t)anddt

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Answered: Input output relationship of a…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Input output relationship of a continuous time linear time invariant system is represented
by a differential equation given as
?
2?(?)
??
2 − 4?(?) = ?(?)
where ?(?) denotes the input while the output is denoted by ?(?). The initial conditions are given as ?(0) = 3
and ??(?)
??
|?=0 = 2. Find the output of this system when ?(?) = sin(2?) is applied as an input.

Input output relationship of a continuous time linear time invariant system is represented
by a differential equation given as
d?y(t)
di- 4y(t) = x(t)
where x(t) denotes the input while the output is denoted by y(t). The initial conditions are given as y(0) = 3
2le=0 = 2. Find the output of this system when x(t) = sin(2t) is applied as an input.
dy(t)
and
dt

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