Kirchhoff’s voltage law states that the sum of the voltage drops
across a resistor, R, an inductor, L, and a capacitor, C, in an
electrical circuit must be the same as the voltage source, E(t),
applied to that RLC circuit. Applying the additional fact that the
current, I, is related to the charge, q, by the relationship
I=dq/dt, the resulting ODE model for the charge in a circuit is: L
(d^2 q)/(dt^2 )+R dq/dt+1/C q=E(t). If a 100 sin(60t)source is...