Problem 1: Consider the following RLC circuit. For the above circuit, find the state space equation, where the input taken as voltage source f and the output taken as b.Find

the state space equations, x = Ax + Bu and y = Cx+ Du, when the inductor current as the first state, x, and the capacitor voltage as X Please use the designated notations.

Fig: 1

Fig: 2

Fig: 3