go away vs die out

go away and die out both are verbs.

Word	Noun	Adjective	Verb	Adverb
go away	No	No	Yes	No
die out	No	No	Yes	No

As verbs, die out is a hyponym of go away; that is, die out is a word with a more specific, narrower meaning than go away:

go away (verb)	die out (verb)
get lost, as without warning or explanation	become extinct
go away from a place	cut or shape with a die
move away from a place into another direction
become invisible or unnoticeable