(a) For the following op-amp circuit derive the input-output differential equation relating the output voltage \(v_{o}\) and the input voltage \(v_{i}(t)\).

(b) Derive the circuit's State-Variable Matrix model \((A, B, C, D)\), where the input is voltage \(v_{i}(t)\) and there are two outputs: the voltage output \(v_{o}\), and the current through \(R_{3}\) (with positive sense to the right).

Transcribed Image Text:

vi(t) R R w- w w R3 5 C HE C