Question 6 (10 points): A series circuit has a capacitor of 0.16 x 10-6F, a resistor of 4 x 103 and an inductor of 1H if the initial charge of the capacitor is 10-5C and there is no initial current. (a) Set up the differential equation for the charge of the capacitor. (b) Determine the charge of the capacitor at any time Show all detail computation. Write your answer in x = C_1x_1 +C_2 x_2