differ vs diverge

differ and diverge both are verbs.

Word	Noun	Adjective	Verb	Adverb
differ	No	No	Yes	No
diverge	No	No	Yes	No

As verbs, diverge is a hyponym of differ; that is, diverge is a word with a more specific, narrower meaning than differ:

Other hyponyms of differ include depart, deviate, vary, vary, contrast, counterpoint.

differ (verb)	diverge (verb)
be of different opinions	move or draw apart
be different	extend in a different direction
	be at variance with; be out of line with
	have no limits as a mathematical series