BIG-IP Virtual Edition 11.3- Advanced Routing Modules

Not sure why you'd start at 11.3 for a trial version. If you are starting new, I'd test with 12.1 or better (but that's just an opinion :). My experience with trial licensing is that it enables almost all modules, including dynamic routing.

The easiest way to test it would be to just do the following (via tmsh):

show sys license | grep Routing

You'll see the following if it's enabled:

Routing Bundle, VE

If you have it just enable whatever protocols you need like (here I'm enabling just BGP):

modify net route-domain 0 { routing-protocol add { BGP  }}

F5 just uses Zebra under the covers. The imish will get you into the zebra shell.