2001 2.7 motor into a 2003 2.7 car

[03silverbox]

Thank you in advance as I'm a noob to the Porsche world. I bought a 2003 2.7l boxster with a blown motor with the hopes of rebuilding. Since then I decided to buy a running motor and go that route.
I recently bought a 2001 2.7l motor complete top to bottom (from this forum) with approx. 45K on the clock. From what I can see and find over the internet the 2001 and 2003's had some differences in the vario cam netting the 03 with a few more pony's.

Now for my questions, will the 01 motor run on the 7.8 DME? What changes or parts do I need to swap from the 03 onto the 01 motor? Can I simply plug and play the motor?

I'm assuming that the 01 motor is a 7.2 DME...? Maybe I'm wrong?

Thanks again for all the help.

John