I have a dual boot system with a previous 10.4 version of Ubuntu and Windows 7.
I need to upgrade the existing version of Ubuntu while working my dual boot safely.
Is there a specific way to do that?
Whenever it comes to upgrading Ubuntu, there are many ways to do it. What I would recommend (especially to keep the integrity of your dual boot) is to open up "Update Manager" from the Dash menu/Applications menu. Then, run the upgrade to 12.04 that is listed near the top. This will upgrade 12.04 but there will be no negative effect to your dual boot.