Sry ^^
I tried to reproduce this in fritzing, but the Capacitors are horrible to place. Here's my try:
I suspect you are. I guess Kessils are built with both PWM and Analog in mind, to give the customer the most flexibility while using a few parts extra. Nice strategy, it has to be said.
The circuit above is approximately what I suggested as a quick fix to
@Tom Bishop which seems to have worked in eliminating the flicker.
The OP-Amp circuit in your link looks pretty good.
I'd personally rather do it using a complementary n-channel and p-channel logic MOSFET IC. kind of like a single L293D channel made with MOSFETs. That way you can easily convert the 3.3V or 5V PWM to 10V PWM and smooth that to DC with a resistor and capacitor. If the timings of the transistors are good this should result in a very nice 0-10V DC.