a) y n + 2] = 4y[n+ 1] + 5y[n] given that y[0]= 1, y[1] = 2.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 12CR
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Solve the following difference equations using Z transforms

Question 8. Solve the following difference equation using Z-transforms
a) yn + 2] = 4y[n + 1] + 5y[n] given that y[0] = 1, y[1] = 2.
b) y(n+3)-3y(n+1) + 2y(n) = 0 given that y(0) = 4, y(1) = 0 and y(2) = 8
c) y[n] +3y[n 1]+2y[n-2] = 2x[n]-x[n-1] given that y[-1] = 0; y[-2] = 1, x[n] =
u[n]
Transcribed Image Text:Question 8. Solve the following difference equation using Z-transforms a) yn + 2] = 4y[n + 1] + 5y[n] given that y[0] = 1, y[1] = 2. b) y(n+3)-3y(n+1) + 2y(n) = 0 given that y(0) = 4, y(1) = 0 and y(2) = 8 c) y[n] +3y[n 1]+2y[n-2] = 2x[n]-x[n-1] given that y[-1] = 0; y[-2] = 1, x[n] = u[n]
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