Consider the difference equation (with initial conditions y(-1), y(-2) provided below in the data) (n > 0 and integer. Note: 8(n) is the unit impulse sample.): y(n) = ay(n – 1) – by(n – 2) + d(n) 1. Is the solution to this equation for n >0 stable ? Answer with reason(s). 2. What is the value of y(7) and limn-+0 y(n) in the solution for y(n) Data: [y(-2), y(-1), a, b] = [-2.0, –1.0, 0.32, 0.2244]

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 1EQ: In Exercises 1-12, find the solution of the differential equation that satisfies the given boundary...
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Consider the difference equation (with initial conditions y(-1), y(-2) provided below in the data)
(n 20 and integer. Note: 6(n) is the unit impulse sample.):
y(n) = ay(n – 1) – by(n – 2) +6(n)
1. Is the solution to this equation for n >0 stable ? Answer with reason(s).
2. What is the value of y(7) and limn-00 y(n) in the solution for y(n)
Data: [y(-2), y(-1), a, b] = [-2.0, –-1.0,0.32, 0.2244]
Transcribed Image Text:Consider the difference equation (with initial conditions y(-1), y(-2) provided below in the data) (n 20 and integer. Note: 6(n) is the unit impulse sample.): y(n) = ay(n – 1) – by(n – 2) +6(n) 1. Is the solution to this equation for n >0 stable ? Answer with reason(s). 2. What is the value of y(7) and limn-00 y(n) in the solution for y(n) Data: [y(-2), y(-1), a, b] = [-2.0, –-1.0,0.32, 0.2244]
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