Gravitational wave equations worked out

The topic is a bit too broad. If you want to look at gravitational wave waveforms coming from e.g. binaries then Post-Newtonian approach is usually sufficient and there are many codes for that out there.

If you want gravitational wave emission worked out in any system it might become a bit troublesome.

I would suggest looking into lalsuite developed by the LIGO collaboration, and especially the python interface to it. It is not too easy to use but you can plot binary waveforms with it.

It does require you to have a bit of patience as well as programming skills.