Design the circuit shown in Figure DP 9-1 so that vc t 1 2 A1e2t A2e4t V for t > 0 Determine the values of the unspecified constants A1 and A2. Hint: The circuit is overdamped, and the natural frequencies are 2 and 4 rad/sec. L R2 R1 C + iL(t) vc v (t) s(t) = u(t) + Figure DP 9-1

ENGR 232 Dynamic Engineering Systems Lecture 3 Dr. Michael Ryan Agenda • Quick Review – Integrating factor • First Order Differential Equations – Existence – Models • Second Order Differential Equations – Models – Homogeneous equations – Auxiliary equation and its...