I'm running a mid-2010 MacBook Pro 15'' that has been running GREAT for its entire life. When I upgraded to OS X Yosemite, my computer started shutting off randomly and rebooting. This typically happened whenever I used Safari, Chrome, and tried using the auxiliary input for an additional computer monitor. Right now, Firefox is the only web browser that doesn't consistently cause a crash.

I ran the disk utility and have both verified and repaired the disk, while starting the computer in safe mode one time and then again by starting with "Command+R."  When I did disk verification, it said something along like "one line was missing, the total value was XXXXXX and should be XXXXXX."

Here is the error report from the pop-up that showed up from the error report:

Mon Aug  3 08:53:37 2015

*** Panic Report ***

panic(cpu 0 caller 0xffffff7f8d7e7bdb): "GPU Panic: [<None>] 3 3 7f 0 0 0 0 3 : NVRM[0/1:0:0]: Read Error 0x0061002c: CFG 0xffffffff 0xffffffff 0xffffffff, BAR0 0xc0000000 0xffffff80b295e000 0x0a5480a2, D0, P3/4\n"@/SourceCache/AppleGraphicsControl/AppleGraphicsControl-3.10.24/src/Appl eMuxControl/kext/GPUPanic.cpp:127

Backtrace (CPU 0), Frame : Return Address

0xffffff80a08dbae0 : 0xffffff800ad2bda1

0xffffff80a08dbb60 : 0xffffff7f8d7e7bdb

0xffffff80a08dbc40 : 0xffffff7f8b8d3b9f

0xffffff80a08dbd00 : 0xffffff7f8b99d18e

0xffffff80a08dbd40 : 0xffffff7f8bb7491c

0xffffff80a08dbd60 : 0xffffff7f8b97154b

0xffffff80a08dbd80 : 0xffffff7f8ba14a43

0xffffff80a08dbe00 : 0xffffff7f8b8bbc4e

0xffffff80a08dbec0 : 0xffffff7f8b889845

0xffffff80a08dbf00 : 0xffffff800ad5e759

0xffffff80a08dbfb0 : 0xffffff800ae125b7

Any help would be greatly appreciated!