Adjure vs Supplicate - What's the difference?

As verbs the difference between adjure and supplicate

is that adjure is while supplicate is to humble oneself before (another) in making a request; to beg or beseech.

To issue a formal command, especially in a legal context.

Someone adjured the editor to cease posting silly articles.

To earnestly appeal or advise.

Party members are adjured to promote awareness of this problem.

(en-verb)

To humble oneself before (another) in making a request; to beg or beseech.

To entreat for; to ask for earnestly and humbly.

to supplicate blessings on Christian efforts to spread the gospel

To address in prayer; to entreat as a supplicant.

to supplicate the Deity

(Oxford University) To request that an academic degree is awarded at a ceremony.