Using Drupal Default jQuery only on node form?
You cannot use an updated/upgraded version of jQuery 'just like that' with Drupal. Believe me, it might look everything is working fine, but eventually its gonna break.

As Suggested by Motot, you can use https://drupal.org/project/jquery_update module to use an updated version of jQuery. But I don't think the even the dev version of jquery_update module supports 2.0

What you can do is, use jQuery's no-conflict feature. Here is a detailed documentation on using different JS libraries along side jQuery https://drupal.org/node/1058168 (You want to use jQuery 1.x &amp; 2.0)

And yes, there is a module for that as well - https://drupal.org/project/jqmulti