Problem 2: Consider the RLC circuit shown below, where the inital current flowing through the circuit at time t = 0 is I = 5, and the initial charge on the capacitor at time t = 0 is Q = 2. R (V(t)) HH C L a) Write a differential equation for Q(1), the charge across the capacitor, assuming the voltage source V(t) = 0. Solution: Put your math/explanation here... b) Classify the differential equation Solution: Put your math/explanation here... c) Identify an appropriate solution technique, and solve the differential equation for Q(1). Solution: Put your math/explanation here... d) Use MATLAB to plot your solution for time t = 0 to 1. Solution: Scode e) Use the MATLAB dsolve() function to solve the differential equation and plot the solution on a new figure. The results provided by dsolve() and your solution from part (b) should match. Solution: Scode