For the following circuit, obtain the three coupled differential equations that together model the currents i, i and the voltage v3, given the input voltages v and v. Then represent the model in state-space form with inputs u=[vv], states x=[i v], states x= [iiv3, and outputs V3 y=[ iz]. iz + V1 Ri www L voo V3 C: 12 12 voo + 02 For the following circuit, obtain the three coupled differential equations that together model the currents i, i and the voltage v3, given the input voltages v and v. Then represent the model in state-space form with inputs u=[vv], states x=[i v], states x= [iiv3, and outputs V3 y=[ iz]. iz + V1 Ri www L voo V3 C: 12 12 voo + 02