paean vs eulogy

paean and eulogy both are nouns.

Word	Noun	Adjective	Verb	Adverb
paean	Yes	No	No	No
eulogy	Yes	No	No	No

As nouns, paean and eulogy are synonyms defined as:

Other synonyms of paean include encomium, panegyric, pean.

paean (noun)	eulogy (noun)
a formal expression of praise	a formal expression of praise for someone who has died recently
(ancient Greece) a hymn of praise (especially one sung in ancient Greece to invoke or thank a deity)	a formal expression of praise