Example 9.16 (a).  Use z-transform methods to solve     with  .  

Solution 9.16 (a).

Take the z-transforms of each term  

        

Solve for   and get  .  

Calculate the residue for    at the pole

      
    
    

    

Thus the solution is  

      

which agrees with the result of example 2.

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