give up vs dispense with

give up and dispense with both are verbs.

Word	Noun	Adjective	Verb	Adverb
give up	No	No	Yes	No
dispense with	No	No	Yes	No

As verbs, dispense with is a hypernym of give up; that is, dispense with is a word with a broader meaning than give up:

Other hypernyms of give up include forego, foreswear, forgo, relinquish, waive.

As verbs, give up and dispense with are synonyms defined as:

Other synonyms of give up include part with, spare.

give up (verb)	dispense with (verb)
stop maintaining or insisting on; of ideas or claims	forgo or do or go without
give up in the face of defeat of lacking hope; admit defeat	give up what is not strictly needed
give up or agree to forgo to the power or possession of another	do without or cease to hold or adhere to
stop consuming
give up with the intent of never claiming again
relinquish possession or control over
lose (something) or lose the right to (something) by some error, offense, or crime
part with a possession or right
give up what is not strictly needed
allow the other (baseball) team to score
leave (a job, post, or position) voluntarily
put an end to a state or an activity