WHAT KIND OF DC do I HAVE???

[DocShriek]

I sucessfully burned and played twenty some odd games on my DC, but three will not work. TombRaider Chronicles, Dave Mirra (no music) and Tetris 4d. Now, I tried these three on my cousin's DC, and of course they worked perfectly.
Now..here is the question. I need to get patches for these games, right? So how can I tell what kind of DC i got? I bought it on Ebay, so no instructions or box, or anything..Just the info on the underside of the console. I really would appreciate any help you all can shell out.
Thanks!!