Homework Help is Here – Start Your Trial Now!
Engineering
Electrical Engineering
Choose the correct forms of the Forced Response and the Natural Response of the following system beginning at time t = 0 seconds, y"(t) + 8 y'(t) + 16 y(t) = x(t) if an input signal: x(t) = 2 exp(-4 t) u(t) is applied to the relaxed system. yF(t) = C exp(-4 t)u(t); yN(t) = K1 exp(-4 t)u(t) + K2 t exp(-4 t)u(t) = yF(t) C t exp(-4 t) u(t); yN(t) = K1 exp(-4 t)u(t) + K2 exp(+4 t)u(t) ○ yF(t) = Ct exp(-4 t)u(t); yN(t) = K1 exp(-4 t)u(t) + K2 exp(-4 t)u(t) ○ yF(t) = C exp(+4 t)u(t); yN(t) = K1 exp(-4 t)u(t) + K2 t exp(+4 t)u(t) OyF(t) = Ct exp(-4 t)u(t); yN(t) = K1 exp(-4 t)u(t) O yF(t) = C exp(-4 t)u(t); yN(t) = K1 t exp(-4 t) u(t) + K2 t^2 exp(-4 t)u(t) yF(t) = C t^2 exp(-4 t)u(t); yN(t) = K1 exp(-4 t)u(t) + K2 t exp(-4 t)u(t) yF(t) = Ct exp(-4 t)u(t); yN(t) = K1 exp(-4 t)u(t) + K2 t exp(-4 t)u(t)

Choose the correct forms of the Forced Response and the Natural Response of the following system beginning at time t = 0 seconds, y"(t) + 8 y'(t) + 16 y(t) = x(t) if an input signal: x(t) = 2 exp(-4 t) u(t) is applied to the relaxed system. yF(t) = C exp(-4 t)u(t); yN(t) = K1 exp(-4 t)u(t) + K2 t exp(-4 t)u(t) = yF(t) C t exp(-4 t) u(t); yN(t) = K1 exp(-4 t)u(t) + K2 exp(+4 t)u(t) ○ yF(t) = Ct exp(-4 t)u(t); yN(t) = K1 exp(-4 t)u(t) + K2 exp(-4 t)u(t) ○ yF(t) = C exp(+4 t)u(t); yN(t) = K1 exp(-4 t)u(t) + K2 t exp(+4 t)u(t) OyF(t) = Ct exp(-4 t)u(t); yN(t) = K1 exp(-4 t)u(t) O yF(t) = C exp(-4 t)u(t); yN(t) = K1 t exp(-4 t) u(t) + K2 t^2 exp(-4 t)u(t) yF(t) = C t^2 exp(-4 t)u(t); yN(t) = K1 exp(-4 t)u(t) + K2 t exp(-4 t)u(t) yF(t) = Ct exp(-4 t)u(t); yN(t) = K1 exp(-4 t)u(t) + K2 t exp(-4 t)u(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
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
See similar textbooks
icon
Related questions
Question

I know this question can be solved using laplace transform but, can u help me solve the question (the long way) through diff equations/elementary functions?

Choose the correct forms of the Forced Response and the Natural Response of the following system beginning at time t = 0 seconds, y"(t) + 8 y'(t) + 16 y(t) = x(t) if an input signal: x(t) = 2 exp(-4 t) u(t) is applied to the relaxed system. yF(t) = C exp(-4 t)u(t); yN(t) = K1 exp(-4 t)u(t) + K2 t exp(-4 t)u(t) = yF(t) C t exp(-4 t) u(t); yN(t) = K1 exp(-4 t)u(t) + K2 exp(+4 t)u(t) ○ yF(t) = Ct exp(-4 t)u(t); yN(t) = K1 exp(-4 t)u(t) + K2 exp(-4 t)u(t) ○ yF(t) = C exp(+4 t)u(t); yN(t) = K1 exp(-4 t)u(t) + K2 t exp(+4 t)u(t) OyF(t) = Ct exp(-4 t)u(t); yN(t) = K1 exp(-4 t)u(t) O yF(t) = C exp(-4 t)u(t); yN(t) = K1 t exp(-4 t) u(t) + K2 t^2 exp(-4 t)u(t) yF(t) = C t^2 exp(-4 t)u(t); yN(t) = K1 exp(-4 t)u(t) + K2 t exp(-4 t)u(t) yF(t) = Ct exp(-4 t)u(t); yN(t) = K1 exp(-4 t)u(t) + K2 t exp(-4 t)u(t)
Transcribed Image Text:Choose the correct forms of the Forced Response and the Natural Response of the following system beginning at time t = 0 seconds, y"(t) + 8 y'(t) + 16 y(t) = x(t) if an input signal: x(t) = 2 exp(-4 t) u(t) is applied to the relaxed system. yF(t) = C exp(-4 t)u(t); yN(t) = K1 exp(-4 t)u(t) + K2 t exp(-4 t)u(t) = yF(t) C t exp(-4 t) u(t); yN(t) = K1 exp(-4 t)u(t) + K2 exp(+4 t)u(t) ○ yF(t) = Ct exp(-4 t)u(t); yN(t) = K1 exp(-4 t)u(t) + K2 exp(-4 t)u(t) ○ yF(t) = C exp(+4 t)u(t); yN(t) = K1 exp(-4 t)u(t) + K2 t exp(+4 t)u(t) OyF(t) = Ct exp(-4 t)u(t); yN(t) = K1 exp(-4 t)u(t) O yF(t) = C exp(-4 t)u(t); yN(t) = K1 t exp(-4 t) u(t) + K2 t^2 exp(-4 t)u(t) yF(t) = C t^2 exp(-4 t)u(t); yN(t) = K1 exp(-4 t)u(t) + K2 t exp(-4 t)u(t) yF(t) = Ct exp(-4 t)u(t); yN(t) = K1 exp(-4 t)u(t) + K2 t exp(-4 t)u(t)
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
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,
SEE MORE TEXTBOOKS