draw out vs encourage

draw out and encourage both are verbs.

Word	Noun	Adjective	Verb	Adverb
draw out	No	No	Yes	No
encourage	No	No	Yes	No

As verbs, encourage is a hypernym of draw out; that is, encourage is a word with a broader meaning than draw out:

draw out (verb)	encourage (verb)
lengthen in time; cause to be or last longer	spur on
cause to speak	inspire with confidence; give hope or courage to
remove by suction	contribute to the progress or growth of
remove, usually with some force or effort; also used in an abstract sense
deduce (a principle) or construe (a meaning)
make more sociable