The inability to stay awake in school after an entire night of doing homework whether it be because of procrastination or because of poor time management. Black coffee is a temporary way to fix this unlike a feel hangover.
"I stayed up all night doing that project and woke up with a homeworkhangover. I slept through physics."
Analogous to sex drive, which is your need or level of desire to have sex, homework drive is your level of desire or willingness to do homework at a particular time. Your homework drive can vary greatly, even over short periods of time. Let's say if when your homework drive is peaking you can bang out a 7-pager in a few hours, when your homework drive is low it could take you upwards of 10 hours to finish the same paper.
'C' Student: Dude, can you just let me copy your english homework when you finish... my homework drive is so low right now, there's no chance I do it myself.
'A' Student: Sure thing broski, I'll hit you up later. Just make sure you change the answers around a little bit.
That feeling you get when you think you have homework due soon but you're really on summer break/a long break. You sometimes get homework sick usually after finals and are off to winter/summer break.
Person 1: "Dude I can't hang out today..I have to study."
Person 2: "It's summer, there's no school, what do you have to study?"