If you would like to disable the prompts for updating when you launch Equatio simply go to:
C:\Program Files (x86)\Texthelp\EquatIO\resources\dependencies\EquatioLibrary
Here you will find a text file called " _disableUpdates.txt" - You can either rename this file as 'disableUpdates.txt' or create a new file with this name.
N.B. This applies to Windows only!