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Question: Z-Transforms in Maple

Question:Z-Transforms in Maple

RAfossey 10
April 20 2015
1

I have recently come across this queastion regarding Z-transforms in maple and am struggling with how to complete the question. Any steps on how to proceed with the folloqwing questions would be greatly appreciated. I have done the first part but cannot fathom where to go with this one.

1. For the difference equation

x[n+2]-(α+β)x[n+1]+α*β*x[n]=n/3^n,  x[0]=a, x[1]=b,

(a) Find the general solution for x[n] in terms of the parameters α,β,a and b

 

(b)Find the solutions for ithe two cases α=-β and α=β

 

(c)Examine both solutions found in (b) when α=1, for various values of a and b, choosing values to demonstrate different behaviours of the solutions.

 

Thanks for reading, any help with steps would be great.
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