back up vs encourage

back up and encourage both are verbs.

Word	Noun	Adjective	Verb	Adverb
back up	No	No	Yes	No
encourage	No	No	Yes	No

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

back up (verb)	encourage (verb)
establish as valid or genuine	spur on
become or cause to become obstructed	inspire with confidence; give hope or courage to
make a copy of (a computer file) especially for storage in another place as a security copy	contribute to the progress or growth of
move backwards from a certain position
give moral or psychological support, aid, or courage to