For the following circuit, obtain the three coupled differential equations that together model the currents i,...

  

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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 v₁ and v₂. Then represent the model in state-space form with inputs u=[v₁v₂], states x=[i₁ v₂], states x= [i₁i₂v3, and outputs V3 y=[₁₁ ₁₂ iz]. iz + V1 Ri www L₁ 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 v₁ and v₂. Then represent the model in state-space form with inputs u=[v₁v₂], states x=[i₁ v₂], states x= [i₁i₂v3, and outputs V3 y=[₁₁ ₁₂ iz]. iz + V1 Ri www L₁ 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 v₁ and v₂. Then represent the model in state-space form with inputs u=[v₁v₂], states x=[i₁ v₂], states x= [i₁i₂v3, and outputs V3 y=[₁₁ ₁₂ iz]. iz + V1 Ri www L₁ 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 v₁ and v₂. Then represent the model in state-space form with inputs u=[v₁v₂], states x=[i₁ v₂], states x= [i₁i₂v3, and outputs V3 y=[₁₁ ₁₂ iz]. iz + V1 Ri www L₁ voo V3 C: 12 12 voo + 02