(a) For the follow·ing op-amp circuit derive the input-output differential equation relating the output voltage v 0 and the input voltage Vi ( t),

(b) Derive the circuit's state-variable matrix model (A, B, C, lJ), where the input is voltage v;( f,) and there are two outputs,· the volt:age output v 0 , and the c11rrent thmugh R3 (with positive sense to the ·right).