Do you mean the T7600 or the T7610? I don't see a T7601 on the Dell Support pages ( http://www.dell.com/Support ).
For the T7600 you can go to it's support pages, then click on the Drivers and Downloads section. Once that loads you can change the operating system filter to "Not Applicable". That will load the Windows / DOS / Exe file that you should be able to run in Linux. (there is actually and option for Ubuntu 11.10 as the OS filter, but don't know what you are running.)
There should be instructions on how to install that along with the file that downloads. If not, I'm sure you can find instructions either on our Linux boards or you can Google it.
Hope this helps.
I've run into a similar issue, but for a Dell Inspiron 3482. Support page is: https://www.dell.com/support/home/us/en/19/drivers/driversdetails?driverid=p4cc6&oscode=naa&productc...
When looking for BIOS updates, the only file available for download is "Inspiron_Vostro_3482_3582_3782_1.6.0.exe". Contrary to what is mentionned on the support page in section "Updating the BIOS from DOS (Non-Windows users)", this executable cannot run from DOS. Running this file from a bootable DOS drive, the only thing I've got is "This program cannot run in DOS mode".
How can I update the BIOS without Windows?
I managed to flash a new BIOS on Dell Inspiron 3482. Below is the procedure I followed, which is not documented on the support page. This procedure can probably be used to update the BIOS of other Dell models as well.
Warning: the BIOS Flash Update program won't allow to flash an older version of the BIOS.
Steps are given below-
Determine the correct BIOS for your computer. As your computer boots, press the correct key, which will be displayed on the initial boot screen, to access your BIOS. Your BIOS is determined by your motherboard manufacturer. The motherboard manufacturer will be listed on the first screen of the BIOS near the top of the screen. Typical BIOS entry keys include F2, Esc and Del.
Download the BIOS update. You will need access to the Internet to do this. You can use a public computer or a friend or family member's computer. The exact download location will vary based on the computer and motherboard manufacturer (see Resources).
You can also visit your computer manufacturer's website, such as HP, Dell, or Compaq, and enter your computer make and model for a list of driver and BIOS updates specific to your computer. Visit the Support section of the manufacturer's website in order to find the update.
Choose the version of the update you want to use. For instance, most manufacturers offer BIOS updates for floppy disks or other removable media. Floppy disk updates are still common, but many computers no longer have 3.5" floppy disk drives. Choose to download the removable media version so you can place it on a flash drive.
Open the folder you just downloaded, if there is a folder. There will be a ReadMe.txt file. Read this to determine the specific installation instructions for the BIOS upgrade. Some BIOS upgrades require you to unzip certain files and only place a portion of the downloaded files on your installation media.
If there is only an installation file, copy it to a floppy disk, flash drive or CD. The first two are easier and will not require CD burning software.
Insert the media with the BIOS upgrade into your computer. Restart the computer and press "F12" to access the boot options menu. (If your computer is already set to boot from your chosen media, you won't have to press F12.) Choose your media from the boot menu to continue.
Allow the BIOS update to run completely. Remove the installation media when prompted and allow the computer to automatically restart.