obdurately vs mulishly

obdurately and mulishly both are adverbs.

Word	Noun	Adjective	Verb	Adverb
obdurately	No	No	No	Yes
mulishly	No	No	No	Yes

As adverbs, obdurately and mulishly are synonyms defined as:

Other synonyms of obdurately include cussedly, obstinately, pig-headedly, stubbornly.

obdurately (adverb)	mulishly (adverb)
in a stubborn unregenerate manner	in a stubborn unregenerate manner