How do you remove the heater core on a 1993 ford mustang?

DETAILED ANSWERDrain some coolant,you don't have to empty the system completely. Disconnect heater hoses. If your A/C is NOT charged up or you don't mind recharging it, disconnect the accumulator from the evaporator. You do not have to disconnect this if you don't want to but it will make the job so much easier if you do. Remove the nuts holding the accumulator mounting bracket then loosen and remove the bracket. Now remove the nuts with the big washers that were behind the bracket. Unplug the small vacuum line that is coming through the firewall gasket next to the heater core tubes. Under hood is now finished.

Remove tape holder (4 bolts,8 mm head, 2 on each side, at the bottom behind plastic trim plugs) Remove shifter trim panel,Unscrew shifter knob on stick shifts and pull boot over handle then unbolt shifter handle. Take out 4 Phillips head screws, 2 on each end, and pull E brake handle up so you can pull the middle section of the center console up. Don't forget to unplug the mirror switch. Remove cover on and below steering column,kick panel covers on both sides and knee impact bracket below steering wheel. Pull defrost vent trim,speaker covers off. Remove the rest of the screws holding the shell of the center console(should be 8) and remove. Unbolt steering column ( 6 9/16 headed nuts around the column under the dash,Two just hold on the hood latch bracket) and drop to unplug all switches from it. MAKE SURE STEERING WHEEL IS LOCKED. OTHERWISE, THE WHEEL MAY SPIN AFTER COLUMN IS REMOVED AND THE CLOCK SPRING WILL BE DAMAGED, RENDERING CRUISE CONT., HORN BUTTONS AND AIRBAG INOPERABLE!!! Yank the steering wheel until it comes off the shaft going through the firewall. On automatic trans. cars you'll have to disconnect the shifter lock release cable. Take out the 2 bolts on each side under the dash that were covered by the kick panels. Then loosen the ten mm nut that is under the dash just above where th steering column was. Take out screws across top of dash and let it fall. Disconnect all the plugs that were behind pas. side kick panel and pull dash back as far as possible. Remove top two bolts on air box to firewall and 1 under the box near the middle. It's hard to see. If A/C is disconnected, pull the entire heater box out of the car and remove the top panel and there is your heater core. If a/c is still hooked up all you can do is take out the top panel screws you can get to since the box will not come out of the car. (It will only drop a little bit and move away from the firewall a slight amount.) Then you have to work some magic with a couple of small pry bars to hold this panel up and pull the old heater core out. If you do it like this, make sure you buy the more expensive core because it is usually soldered better around the tubes and will hold up better when you are trying to get it back in. This way can be a serious headache but it is possible. I've done it at least fifty times. Hope you remember where everything came from 'cause now its time to put it all back.