The moment the pylon bolt snapped and the port engine came off the wing, the pilots became test pilots (but they did not know it). They were relatively low and relatively slow at V2+10 (I'm guessing there), although "on profile." They probably never knew that the engine had actually separated from the wing. The key to "flying out" of that particular situation
may have been speed. After all, "speed is life" in the swept wing world. The engine-out target climb speed that they tried to achieve was too slow to control the damaged DC-10. Thus the crash. It is much more complicated than that actually, but that's the super-condensed version.
http://vtvt.essortment.com/americanairline_reuj.htmBTW: Do you remember what else happened earlier in the day of the AA DC-10 crash at ORD? On the morning of May 25, 1979, John Spenkelink became the first inmate to be executed in Florida following the resumption of capital punishment.