Need to map 0-5V DAC output to 0-10V output
Standard op amp with a gain of 2, you will need a rail to rail op amp, you will also want some pulldown, e.g. 2K to ground to ensure it really can get that close to 0V without issue, 

I would recommend the 12V supply, to give you some head room to supply current for the pulldown resistor, 







simulate this circuit &ndash; Schematic created using CircuitLab