I agree with others that your trailer has a charger, it may though not be working. There are a few things to check.
Trace the battery wires from the post back until they go into the trailer. Are there any fuse holders or circuit breakers (small box with threaded posts) on the wires? If so check, replace or bypass the fuse or breaker.
** Edit thanks to 2112 below, I was at work and typing fast and missed a critical step. Do not leave a fuse or breaker bypassed. As 2112 states they blow for a reason. If the bypass brings the system to life you have to remove the bypass and figure out what is causing it to fail.**
In your fuse panel you are looking for two things. First the circuit breaker for the charger. If nothing is labeled then flip of all the breakers. Now push them extra hard in the off direction to make sure they are actually off. Now flip them back on.
Now look on the side of the panel with the plastic automotive type fuses. There should be one or two larger fuses, possibly 40 amp that need to be checked. They might be labeled as Rev Pol or Reverse Polarity, or not labeled at all. Check or replace these fuses.
After that, you will need a meter that can measure voltage DC to see if you have fixed the issue. These meters can be picked up fairly inexpensively many places (Harbor Freight, Sears, Walmart, Autozone, Target etc)
.
2001 Suburban 4x4. 6.0L, 4.10 3/4 ton **** 2005 Jayco Jay Flight 27BH **** 1986 Coleman Columbia Popup