One way to check and see if the solenoid is working is to put a voltage meter on your house battery with engine off and note the voltage.
Start the engine and note the voltage again. It should rise. If the battery is almost full to start with the rise might be very slight like 1 volt. If the battery is low it might rise several volts...but the key here is to see if you get a rise in voltage.
The aux start solenoid that others have shown the pictures of and is mounted on the firewall under the hood serves two purposes.
First it activates with the button on the dash to connect both house and coach batteries together in case the coach chassis battery is low and will not start the motor on it's on.
The second function of this solenoid is to connect the alternator to the coach chassis and house battery so both batteries will charge going down the road. When you turn the key to on you will hear it click if you listen carefully.
These solenoids do go bad. That could be your problem. Does the aux start click the solenoid when you push it? You should hear it click. There is a fuse to the solenoid also that others mentioned. If it is blown it will not allow function of the solenoid. Be sure to check the fuse before anything else if the solenoid is not working.
Watch this video. It might help.
https://youtu.be/wc_vGNHhAYE