consider the following difference equation y(k+2)-1.5y(k+1)+0.5y(k)=u(k+1) with initial conditions y(0)=0.5,y(-1)=1. the input u(k) is given by a) Find the FT-z of the system b) Find the solution y(k)

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consider the following difference equation y(k+2)-1.5y(k+1)+0.5y(k)=u(k+1) with initial conditions y(0)=0.5,y(-1)=1. the input u(k) is given by a) Find the FT-z of the system b) Find the solution y(k)
ale) = {
[1, k 2 0
u(k)=
10, k <0
Transcribed Image Text:ale) = { [1, k 2 0 u(k)= 10, k <0
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