Page 1 of the TLV9002 data sheet tells you this: -
You have 100 nF connected and, you also have this output connected to the outside world (PIEZO1N) so, add another 1 kΩ resistor like this: -
Also take note of this and remember that both op-amps need supply decoupling (not just the AD8605): -
In addition to the 1 kΩ resistor I mentioned above, this extract from the data sheet also implies the same: -



