Hi, I just need some explanation on the below question:

based on the principles in my text book I did the below:
(zY(z) -zy0) - 0.5Y(z) = 2(0.25)(0.25)^n (zU(z) -zu0))
I am very uncertain on what to do here. Do i use the initial conditions y0=0 and u0=0? I am confused where does the u[n+1] as there are no examples like that in my text book.
regards
Josh

based on the principles in my text book I did the below:
(zY(z) -zy0) - 0.5Y(z) = 2(0.25)(0.25)^n (zU(z) -zu0))
I am very uncertain on what to do here. Do i use the initial conditions y0=0 and u0=0? I am confused where does the u[n+1] as there are no examples like that in my text book.
regards
Josh