
EXERCISES
6.15 Rework Example 6.7 using RK-2 to find the starting value V
A
(1) for the AB-2 and AM-3
integrators, respectively. Comment on the results.
6.16 Rework Example 6.7 with step size T ¼2 weeks using an RK-4 method to find the starting
values V
A
(1), V
A
(2), and V
A
(3) for the AB-4 and AM-4 integrators. Comment on the results.
6.17 Show that the equilibrium price in Example 6.8 is stable by choosing initial prices slightly less
and slightly greater than p(1) and observing the transient price responses. Use a suitable
numerical integrator to obtain the transient response.
6.18 An unforced continuous-time system is described by the first-order different ...