Please help with the following question. With detail on how to do it. Thank you.  Given the difference equation y[n]+2y[n−1]+y[n−2] = 2x[n]−x[n−1]  with initial conditions y[−1] = 3, y[−2] = 2 and a causal input x[n] =(3)^nu[n].  a) What is the order of this difference equations?  b) Using the iterative method find the first 3 terms of y(n)

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

Please help with the following question. With detail on how to do it. Thank you. 

Given the difference equation y[n]+2y[n−1]+y[n−2] = 2x[n]−x[n−1]  with initial conditions y[−1] = 3, y[−2] = 2 and a causal input x[n] =(3)^nu[n]. 

  1. a) What is the order of this difference equations? 
  2. b) Using the iterative method find the first 3 terms of y(n) 
Given the difference equation y[n]+2y[n-1]+y[n=2] = 2x[n]-x[n=1]
with initial conditions y[-1] = 3, y[-2] = 2 and a causal input x[n] =(3)"u[n].
a) What is the order of this difference equations?
b) Using the iterative method find the first 3 terms of y(n)
Transcribed Image Text:Given the difference equation y[n]+2y[n-1]+y[n=2] = 2x[n]-x[n=1] with initial conditions y[-1] = 3, y[-2] = 2 and a causal input x[n] =(3)"u[n]. a) What is the order of this difference equations? b) Using the iterative method find the first 3 terms of y(n)
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Sinusoids and phasors
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.
Similar questions
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,