Comment by trothamel

After the accident, Apollo 13 had 4 burns.

The DPS-1 burn which restored the free return trajectory was done using the Apollo guidance computer.

The PC+2 burn which sped up the return from earth was done using the Apollo guidance computer.

The MCC-5 mid-course correction burn was done by hand.

The MCC-7 mid-course correction burn was done by hand, but used the Apollo guidance computer to integrate the accelerometer to let everyone know when the burn was done.

(All the burns on Apollo 8 were computer controlled. I'd assume Gemini 7 and 12 were hand flown, though I don't know for sure.)