How can I convert 0-5V to +/-2V using a dual supply op amp?
You can very nearly get to +/- 2V centred at 0 volts with just two resistors and the -5 volt rail: -



Vout is +/- 1.6667 V.

So, if you want to avoid a capacitor (works down to DC) use the above and then amplify with a gain of 1.2 i.e. a non-iverting amplifier with 200 ohm feedback resistor and 1 kohm to ground from the inverting pin. If you can rely on your -5 volt rail being stable and fairly noise free I would consider this method.