Example 9.20 (a).  Find the general solution to  .

Explore Solution 9.20 (a).

Use the initial conditions    and get the solution  .

Use the initial conditions    and get the solution  .

The above derivation can also be accomplished using z-transforms.

Form the linear combination    and substitute it into the difference equation

        

The following graph is shows the solution for the choice of constants .

Figure 9.2.  A typical solution to  .  

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