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)
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...
icon
Related questions
Question

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))
Expert Solution
steps

Step by step

Solved in 3 steps with 11 images

Blurred answer
Knowledge Booster
Continuous Time Fourier Transform of Signal
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,