Current Feedback (CFB) operational amplifier
The ideal current feedback op amp equivalent circuit looks like this:



The non-inverting input is high impedance (infinity in ideal model). The 'x1' buffer asserts the same voltage at the non-inverting input, but with low impedance (zero in ideal model). This means it supplies whatever current is required to maintain the voltage it asserts.

Depending on circuit attached at the non-inverting input, the voltage asserted there will drive an error current \$i_{err}\$. That error current multiplied by the transimpedance of the amp \$Z(s)\$, measured in Volts/Amp, determines the output voltage \$V_O\$.

Using these facts in the problem you've stated, what is your conclusion as to the voltages that appear at the inverting and non-inverting inputs as a function of time?