back down vs withdraw

back down and withdraw both are verbs.

Word	Noun	Adjective	Verb	Adverb
back down	No	No	Yes	No
withdraw	No	No	Yes	No

As verbs, withdraw is a hypernym of back down; that is, withdraw is a word with a broader meaning than back down:

Other hypernyms of back down include draw back, move back, pull away, pull back, recede, retire, retreat.

As verbs, withdraw is a hypernym of back down; that is, withdraw is a word with a broader meaning than back down:

Other hypernyms of back down include retire.

back down (verb)	withdraw (verb)
move backwards from a certain position	keep away from others
remove oneself from an obligation	remove something concrete, as by lifting, pushing, or taking off, or remove something abstract
	make a retreat from an earlier commitment or activity
	take back what one has said
	release from something that holds fast, connects, or entangles
	lose interest
	pull back or move away or backward
	remove (a commodity) from (a supply source)
	cause to be returned
	break from a meeting or gathering
	withdraw from active participation
	retire gracefully