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

Solution 9.16 (b).

Take the z-transforms of each term  

        

Solve for   and get  .  

Calculate the residue for   at the poles

      
    
      

    
and
      

Thus the solution is  

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