Is it possible to explicit $y(n)$ of this mathematical succession in recursive form using
z inverse transform?:
$ y(0) = 1 \\ y(n+1) = 2y(n) + 3 $
I can't write this as a linear system in z (linear difference equation) because there is the $3$ that doesn't depends on input or output.
I know some methods to solve this but I'm trying to use z inverse transform with no success.