(a) Obtain the dynamic equations of the circuit shown below.

(b) Explain why the state variables should be chosen as \(v_{C_{1}}(t), v_{C_{2}}(t)\), and \(v_{C_{3}}(t)\).

(c) Express the equations in the State-Variable Matrix model where the input is voltage \(u(t)\) and the output is voltage \(v_{o}(t)\).

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u + C R 3 C2 ww R2 R 3 C3 Circuit Diagram 2