The NVidia Quadro P2000 was released in February 2017. I suspect that the driver that is vetted for SOLIDWORKS 2016 and 2017 is also the best version to run anything before those versions as well. I've linked that one below if you want to try it:
You could also open the SOLIDWORKS RX and see if the diagnostics tab gives you a different recommended driver to download but the RX system may not recognize you hardware configuration for version 2015 at all given the hardware did not exist until 2 years later. It is worth a shot though.
So i tried the driver from your link and it said not compatible with win 10 and wouldnt install.
then i downloaded from solidworks certified,any system vendor,quadro p2000,win 64bit and it shows same driver.
Downloaded that one and it was about 6mb larger file 376.84 which ran and installed and
left me with black screen of no good.
Why does solidworks site say that this is certified?
And why does the site tested cards function not work at all?
Was able to reinstall 386.07 which fixes black screen of death but still looking for better driver.
I don't really have answers to those questions. My only guess is that since the card itself was released in 2017 it did not go through certification testing for 2015. As for why your screen goes black, that could be any number of reasons. I have helped people install this driver many times with no ill effect like you describe here. You may want to try using the 'Advanced' option for 'Clean Installing' the driver and see if that helps.
I always do clean installing of driver.
Trying latest 391.74
I've had good and bad results with certified drivers.
SolidWorks 2017 SP 5
Nvidia M4000 driver 397.64 (not certified) the certified driver is 362.13
Just because it's not certified, doesn't mean it doesn't work, only that is hasn't been tested. In this case, I had glitches with the certified driver so tried another and it's working better than the certified version.