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A certain system is known to have the following differential equation relating output y(t) to input f(t) D²+6D+5)y(t)=4f(t) by using Fourier Transform Approach. Find the zero state response with the given input f(t) = 38(t) + e ²¹u(t) (the impulse response of the system is h(t)=[e¹ - e-St Ju(t))

A certain system is known to have the following differential equation relating output y(t) to input f(t) D²+6D+5)y(t)=4f(t) by using Fourier Transform Approach. Find the zero state response with the given input f(t) = 38(t) + e ²¹u(t) (the impulse response of the system is h(t)=[e¹ - e-St Ju(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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Attached is a problem from my textbook, not a graded assignment or exam so please don't reject, thank you!

I need the answer using Fourier Transform Approach as I already understand how to normally do the example, thank you!

A certain system is known to have the following differential equation relating output y(t) to input f(t) (D²+6D+5)y(t)=4f(t) by using Fourier Transform Approach. Find the zero state response with the given input f(t) = 38(t) + e 2¹u(t) (the impulse response of the system is h(t)=[et-e-Ju(t))
Transcribed Image Text:A certain system is known to have the following differential equation relating output y(t) to input f(t) (D²+6D+5)y(t)=4f(t) by using Fourier Transform Approach. Find the zero state response with the given input f(t) = 38(t) + e 2¹u(t) (the impulse response of the system is h(t)=[et-e-Ju(t))
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