What I've tried to do so far is calculate the input impedance Zin = Vin/Iin. But no value of Iin is giving me a Zin with an inductive impedance. What I'm mostly confused by is how the output of the top op-amp interacts with the opamp below it.

So far I have:

Top Op-amp:

e- = e+ = Vin

Therefore I1 = Vin/R

Bottom Op-amp:

e+ = e- = Vin

I2 = (Vout - e+)/R1 = (Vout - Vin)/R1 = Vin/R1

I'm not sure what I have to do to get a current in terms of the capacitor, and then calculate the full input impedance.

Thanks,

Jin