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

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

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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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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