Understand that the reason for the capacitor on the output is because the power supply is a single polarity.
Therefore the output will 'sit' at 1/2 of the supply voltage.
Which is Volts dc.
The cap is not needed on a dual supply because the output 'sits' at 0 Vdc.
Therefore the output will 'sit' at 1/2 of the supply voltage.
Which is Volts dc.
The cap is not needed on a dual supply because the output 'sits' at 0 Vdc.