Given: You have the following RLC circuit. 8V ww 2kQ i(t) m 200mH Vo(t) :50nF Assume the following are the initial conditions for the inductor and capacitor: L (0) = 100 A vc (0) = 4 V Find: First, write the governing differential equation for ve(t). Second, determine step response of the circuit for t 0. Hint: First determine whether the circuit is over-, under-, or critically damped. This will determine the form of your solution. Plot your solution in Matlab. Let the x-axis range from 0 to 2 ms. Let the y-axis range from 0 to 10 volts. For the simulation step size, use le-6.