
(a) Represent the circuit in state variable form where x
1
¼i and x
2
¼di=dt.
(b) Show that the system is stiff when the circuit parameter values are R ¼25 V, L ¼20 mH,
C ¼200 mF, and v
0
¼12 V.
(c) Simulate the transient response using a fixed-step RK-2 integrator, and determine the largest
step size T, which yields a stable and accurate solution.
(d) Use one of the stiff numerical integrators available in Simulink to simulate the transient
response.
(e) Find the analytical solution for the transient response, and compare the results of parts (c)
and (d) with the exact solution.
(a) Derivation of the state equations is straightforward.
_
x
1
¼
di
dt
¼ x
2
(6:229)