Determine whether the given signal is a solution to the difference equation. Then find the general solution to the difference equation. Yk = k?; Yk +2 + 4y% + 1- 5yk = 12k + 8

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Determine whether the given signal is a solution to the difference equation. Then find the general solution to the difference equation.
Yk = k?; Yk +2 + 4yk + 1 – 5y, = 12k + 8
Is the given signal is a solution to the difference equation?
Yes
No
What is the general solution to the difference equation?
A.
Yk =k? + c, (- 5)* + c2
Yk = 12k + 8+ c, (- 5)*+ C2
В.
Oc.
Yk = 12k + 8 + c, k? + cz( - 5)*
D. Since
= k2 is not a particular solution, there is not enough information to determine the general solution.
Yk
Transcribed Image Text:Determine whether the given signal is a solution to the difference equation. Then find the general solution to the difference equation. Yk = k?; Yk +2 + 4yk + 1 – 5y, = 12k + 8 Is the given signal is a solution to the difference equation? Yes No What is the general solution to the difference equation? A. Yk =k? + c, (- 5)* + c2 Yk = 12k + 8+ c, (- 5)*+ C2 В. Oc. Yk = 12k + 8 + c, k? + cz( - 5)* D. Since = k2 is not a particular solution, there is not enough information to determine the general solution. Yk
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