Example 9.18.  Solve     with  .  

Explore Solution 9.18.

Take the z-transforms of each term and then solve for  .  Substitute   into
    ,  and get
    

Compare this solution with  .

Use the fact that and write   in the form

The solution y[n]  can be computed using residues

      

      

      

The solution is  .  Which can be written as .

Mathematica can show that the two formulas compute the same values.

(c) 2006 John H. Mathews, Russell W. Howell