They are most likely just stuck on due to the heat and you need to either cut them off of spray some WD-40 on the ends and try using a set of pliers and rotate the hose on the core back and forth............
take the 2 hoses off to the heater core and get a hose and flush out the core through both hose fittings on the firewall.
Disconnect the heater hose off the heater core on the firewall and remove the inside middle side panels along with the lower heater core panel and pull the core straight out.........
possibly a leaking heater core look for antifreeze dripping into the interior of the vehicle. usually it is the core or hose connected to the heater core.
Take both heater hoses off at the heater and the hose running from the front, attach it to the rear of the engine.
The heater core is on the back side of the firewall. It has 2 hoses of 1/2 inch diameter running into it. It is about in the center of the firewall. Take the 2 hoses off the firewall. Get a hose with good pressure and back flush the heater core by running the hose into the side with the long hose on it. If you are not sure which side to do then do it both ways.
Disconnect the rubber hoses from the heater and the intake. Once the clamp is removed, take a sharp knife and split the rubber ends and peal them off. DO NOT pull on the heater core as you can damage the heater core. Take a hacksaw and cut the band off and replace the heater hose using new clamps.
apparently the heater core is plugged, try taking both hoses off of it and get a garden hose and try to flush it out.
take one end of your heater hose off the heater core and run it back to the intake port.
The heater control valve is used to shut off hot coolant from entering the core when the heater is in the off position. A heater control valve can be actuated by either a vacuum line or a cable from the vacuum heater control valve to the heater core. This hose should be warm; if not the heater control valve is stuck and needs to be replaced
Disconnect both hoses that go to the heater core from either end, (the end at the heater core or the end at the water pump, manifold, radiator, etc.) using a garden hose, preferably with a hose repair end attached to plug into the hose or a short piece of hose cut off to connect to the heater core, run water in each direction through the heater core until water runs clear, then reverse direction of flow. Repeat as many times as necessary until flow is restored and water runs clean. Be sure to also flush the rest of the cooling system or debris from it will likely just clog up the heater core again.
Disconnect both hoses that go to the heater core from either end, (the end at the heater core or the end at the water pump, manifold, radiator, etc.) using a garden hose, preferably with a hose repair end attached to plug into the hose or a short piece of hose cut off to connect to the heater core, run water in each direction through the heater core until water runs clear, then reverse direction of flow. Repeat as many times as necessary until flow is restored and water runs clean. Be sure to also flush the rest of the cooling system or debris from it will likely just clog up the heater core again.
i had the same problem w/my 97 avenger its a clogged heater core if u take the hose off from the fiewall and use a hose to unclog the heater core u should be all set.also thermostat can be gone id do thermostat then heater core