drop off vs put down

drop off and put down both are verbs.

Word	Noun	Adjective	Verb	Adverb
drop off	No	No	Yes	No
put down	No	No	Yes	No

As verbs, drop off and put down are synonyms defined as:

Other synonyms of drop off include discharge, drop, set down, unload.

drop off (verb)	put down (verb)
change from a waking to a sleeping state	put down in writing; of texts, musical compositions, etc.
fall to a lower standard	make a record of; set down in permanent form
fall or diminish	put in a horizontal position
retreat	remove (cargo, people, etc.) from and leave
remove (cargo, people, etc.) from and leave	cause to sit or seat or be in a settled position or place
	put (an animal) to death
	reduce in worth or character, usually verbally
	cause to come to the ground