A continuous-time signal is sampled 44,100 times per second, resulting in a sequence of values defined recursively as Yn+2-y₁ =3", n=0,1,2,... where y₁ = 0 and y₁ = 1. An application of Z-transform on the sequence resulted in the equation Y(=)_ Z z-2 (2-3)(²-1) By using inverse Z-transform on the above equation, produce the explicit form of y₁.

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