Determine the total solution for n20 of a discrete-time system characterized by the following difference equation: y[n]+y[n 1]-6y[n-2] =x[n], for an input x[n] = (-3)"u[n] and with the initial conditions y(- and y(-2) = -1. - Classify the time invariancy property of the following system with representation: (i) y(n) = nx(n-1), (ii) y(n) = x(2n-1). For graphical representation, let x(n) = {0, 1, 2, 1,0).

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
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Chapter1: Introduction
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Question
3. a) Determine the total solution for n 20 of a discrete-time system
characterized by the following difference equation:
y[n]+y[n 1]-6y[n-2] =x[n].
for an input x[n] = (-3)"u[n] and with the initial conditions y(-1) = 1
and y(-2) = -1.
b) Classify the time invariancy property of the following system with graphical
representation:
(i) y(n) = nx(n-1),
(ii) y(n) = x(2n-1).
For graphical representation, let x(n) = {0, 1, 2, 1, 0).
Transcribed Image Text:3. a) Determine the total solution for n 20 of a discrete-time system characterized by the following difference equation: y[n]+y[n 1]-6y[n-2] =x[n]. for an input x[n] = (-3)"u[n] and with the initial conditions y(-1) = 1 and y(-2) = -1. b) Classify the time invariancy property of the following system with graphical representation: (i) y(n) = nx(n-1), (ii) y(n) = x(2n-1). For graphical representation, let x(n) = {0, 1, 2, 1, 0).
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