win over vs persuade

win over and persuade both are verbs.

Word	Noun	Adjective	Verb	Adverb
win over	No	No	Yes	No
persuade	No	No	Yes	No

As verbs, persuade is a hypernym of win over; that is, persuade is a word with a broader meaning than win over:

win over: make (someone) agree, understand, or realize the truth or validity of something
persuade: cause somebody to adopt a certain position, belief, or course of action; twist somebody's arm

win over (verb)	persuade (verb)
make (someone) agree, understand, or realize the truth or validity of something	cause somebody to adopt a certain position, belief, or course of action; twist somebody's arm
	win approval or support for