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y(k +2) - y(k + 1) + 2y(k) = 2* with y(1) = y(0) = 0 %3D

y(k +2) - y(k + 1) + 2y(k) = 2* with y(1) = y(0) = 0 %3D

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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For the difference equation given by y(k +2) - y(k + 1) + 2y(k) = 2* with y(1) = %3D y(0) = 0 Find the expression of Y(z) ? Y(z) = 1/ ((z - 2) (Z - z + 1)) а. O b. Y(z) = -1/ ((z - 2) (2 - z + 1)) Y(z) = -z/ ((z - 2) (Z -z+ 1)) С. %3D d. Y(z) = z/ ((z - 2) (2 - z + + 1)) %3D е. others
Transcribed Image Text:For the difference equation given by y(k +2) - y(k + 1) + 2y(k) = 2* with y(1) = %3D y(0) = 0 Find the expression of Y(z) ? Y(z) = 1/ ((z - 2) (Z - z + 1)) а. O b. Y(z) = -1/ ((z - 2) (2 - z + 1)) Y(z) = -z/ ((z - 2) (Z -z+ 1)) С. %3D d. Y(z) = z/ ((z - 2) (2 - z + + 1)) %3D е. others
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