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x(k)-3x(k-1)+2x(k-2)= e(k), e(k)= [1, k = 0, 1 0, k ≥ 2 x(-2) = x(-1) = 0

x(k)-3x(k-1)+2x(k-2)= e(k), e(k)= [1, k = 0, 1 0, k ≥ 2 x(-2) = x(-1) = 0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question

Find x(k) by using z-transform

- x(k)-3x(k-1) + 2x(k − 2) = e(k), e(k)= [1, k = 0, 1 0, k ≥2 x(-2) = x(-1)=0
Transcribed Image Text:- x(k)-3x(k-1) + 2x(k − 2) = e(k), e(k)= [1, k = 0, 1 0, k ≥2 x(-2) = x(-1)=0
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How should x(-2) = x(-1) = 0 be used in the question. And it contradicts the expression obtained for x(k)

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