Is it an official Microsoft Windows disc, or one that came from your brand of computer? I know that when I used to own a Dell, they had their own Dell Windows XP disc that absolutely would not be able to run on any other type of hardware.
That's odd. I have never encountered an issue with using the same dell cd on multiple computers, dell or otherwise. Licensing is a different story.
What really needs to happen is the OP needs to do some homework first and if that fails, then he or she needs to be more descriptive with the problem. We don't even know when the BSOD occurs.