Example 9.11.  Given the repeated dosage drug level model   with the initial condition  .
9.11 (c).  Use residues to find the solution.

Explore Solution 9.11 (c).

Start with the formula for the z-transform that we found in part (b):  .  Then use the Corollary and residues to find  .  

Which can be written in the desired form   .

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