withdraw vs back down

withdraw and back down both are verbs.

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

As verbs, back down is a hyponym of withdraw; that is, back down is a word with a more specific, narrower meaning than withdraw:

Other hyponyms of withdraw include back off, bow out, chicken out, pull out.

As verbs, back down is a hyponym of withdraw; that is, back down is a word with a more specific, narrower meaning than withdraw:

Other hyponyms of withdraw include fall back, retreat, retrograde, back off, back up.

withdraw (verb)	back down (verb)
keep away from others	move backwards from a certain position
remove something concrete, as by lifting, pushing, or taking off, or remove something abstract	remove oneself from an obligation
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