Question #4. by a differential equation given as Input output relationship of a continuous time linear time invariant system is represented d²y(t) -- 4y(t) = x(t) dt² where x(t) denotes the input while the output is denoted by y(t). The initial conditions are given as y(0) = 3 and dye) 2le=0 = 2. Find the output of this system when x(t) = sin(2t) is applied as an input. dt t%3D0

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
Question #4
by a differential equation given as
Input output relationship of a continuous time linear time invariant system is represented
d²y(t)
dt2
where x(t) denotes the input while the output is denoted by y(t). The initial conditions are given as y(0) = 3
and YO le=o = 2. Find the output of this system when x(t) = sin(2t) is applied as an input.
– 4y(t) = x(t)
dt
Transcribed Image Text:Question #4 by a differential equation given as Input output relationship of a continuous time linear time invariant system is represented d²y(t) dt2 where x(t) denotes the input while the output is denoted by y(t). The initial conditions are given as y(0) = 3 and YO le=o = 2. Find the output of this system when x(t) = sin(2t) is applied as an input. – 4y(t) = x(t) dt
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Analysis of Multiple Order System and Steady State Error
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,