A discrete system is represented by the following difference equation: y[n + 3]– 2y[n+1]+3y[n] = x[n+ 2]-x[n+1] with the initials conditions y[-3] = -3, y[-2] =-2 , and y[-1] =-1. Solve this difference equation recursively for the input x[n] = r[n] by finding the system output y[n]at n= 0,1,2,3.
A discrete system is represented by the following difference equation: y[n + 3]– 2y[n+1]+3y[n] = x[n+ 2]-x[n+1] with the initials conditions y[-3] = -3, y[-2] =-2 , and y[-1] =-1. Solve this difference equation recursively for the input x[n] = r[n] by finding the system output y[n]at n= 0,1,2,3.
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
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![A discrete system is represented by the following difference equation:
y[n + 3]– 2y[n+1]+3y[n] = x[n+ 2]-x[n+1]
with the initials conditions y[-3] = -3, y[-2] =-2 , and y[-1] =-1.
Solve this difference equation recursively for the input x[n] = r[n] by finding the system output
y[n]at n= 0,1,2,3.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbf35d9b2-5ccf-41ae-aaa2-427ef8d760de%2F33bd7871-aea5-4af9-bc93-4cc24794c9c8%2F7vu52ci.png&w=3840&q=75)
Transcribed Image Text:A discrete system is represented by the following difference equation:
y[n + 3]– 2y[n+1]+3y[n] = x[n+ 2]-x[n+1]
with the initials conditions y[-3] = -3, y[-2] =-2 , and y[-1] =-1.
Solve this difference equation recursively for the input x[n] = r[n] by finding the system output
y[n]at n= 0,1,2,3.
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