Example 9.15 (a).  Use z-transform methods to solve     with  .  

Solution 9.15 (a).

Take the z-transforms of each term  

        

Solve for   and get  .

Calculate the residues for    at the poles

          

          

Thus the solution is  

        ,
        
        

which agrees with the result of example 1.

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