No, you cannot use recovery discs from different computer. Your toshiba has the recovery discs information stored in the hard drive (hidden partition). There is a Toshiba utility that you can use to burn the info on a DVD. Should be under Toshiba folder when you click the Start button.
You can also do a system recovery by hitting F10 (or some other Fn key can't remember) when booting up the computer. It will do a recovery to a factory state. Meaning all you personal data WILL BE LOST. So BACKUP your data!!!
All these info are in the manual.