Y351D DELL MOTHERBOARD PLANAR M1330 UMA - Planar Computers & Internet

Put old motherboard back in.

If it's just shutting off randomly start unplugging perriferials until something lets your computer stay on (ex: take out all but one stick of ram, maybe only leave 1 fan in, take out any PCI/PCI-E, etc)

remove bios battery for motherboard.

faulty screen / inverter or grahics card on motherboard

use external monitor to check signal from laptop to monitor,

if signal is ok. then screen needs replacing

if no signal then graphics card problem

With the M1330 the power button is on the hinge cover strip, I'd replace that 1st. If that fails, then it is motherboard time

Power plug or power jack...

pull the battery out and retry with battery out,, pluged in,

If its not the power plug, power jack or bat., then the motherboard may be bad.

try removing the battery, plug the ac adapter, check if it turns on. if not it may be the ac adapter/motherboard might be bad.

It is the only VGA card problem, you need to change the mother board

When it's booting, try to access the setup, aka BIOS. See if you can set CD/DVD as a booting option. As the top BOOT device. Then see if you can boot your installation CD. You may be able to format your drive during the installation - if the hard drive hasn't failed?

The internal speakers I presume. Essentially you have to completely disassemble the system. Remove the battery, all drives, central control cover, LCD, Keyboard, Palmrest, Card cage and motherboard to get to the speakers in the bottom back of the chassis.

http://support.dell.com/support/edocs/systems/xpsM1330/en/sm/speaker.htm#wp1038494

Try running Belarc advisor to check the motherboard manufacturer.
Lots of companies use Intel chipsets