Example 9.17 (b).  Use z-transform methods to solve     with  .  

Solution 9.17 (b).

Take the z-transforms of each term  

        

Solve for   and get  

Calculate the residues for    at the poles

                

        

        

        

Therefore, the solution is  

        

        

Remark.  Observe that   and  .

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