How to change 5 DC volts from Arduino into +/- 5 volts

You can use a DC-to-DC converter to convert between almost any two DC voltages.

The TI PT5022 can produce -5V from +4.75V to +7V

Datasheet: Buck-boost & inverting modules (integrated inductor) product selection | TI.com

Note that the MINIMUM current output is 1/4 Amp.