1) I assume there is no window in this door, but if there is, break it, while holding the doorknob firmly to prevent the shock from jiggling the handle. then reach in and disarm it the easy way.
2) if Ed can get a knife or something between the door and frame, atempt to cut the wire. Without putting too much tension on the wire.
3) If Ed can jimmy the latch and open the door ever so slightly without triggering the bomb, do that for more space to cut the wire
4) if Ed has a drill in his engineer toolkit, make a hole.
5) maybe find a spot in the wall between the wall studs (assuming a wooden wall) and break in there.
6) there's always "liberal use of explosives." Ed has three satchel charges and apparently a slim sense of self preservation. Find the best spot to make a hole, and do so (again, even on the roof, if that's best).
7) rig up one of the burned Nazi corpses as a sort of marionette. Stand far back, and pull the string attached to his hand to cause him to open the door himself. Hilarity ensues. Preferably stand or crouch in cover when desecrating the corpse in this way.
take apart the doorknob, carefully. I bet I hav a hacksaw if it comes to that. But make sure not to let the inside part of the knob fall. reach through and rotate the knob so as to reach the wire.
9) using a crowbar, tear apart the doorframe for more access.. I suppose if this is doable, cutting through the wall would also be doable.
10) i don't know, acid? Acid might work. Maybe do the marionette thing, but with acid. seriously, if you've gotten this far down the list, just go with "rig a Nazi corpse to be the fall guy."
11) shoot it with a gun.
12) More fire. fire is good. Fire is love. Fire is life.