nymphomania vs eros

nymphomania and eros both are nouns.

Word	Noun	Adjective	Verb	Adverb
nymphomania	Yes	No	No	No
eros	Yes	No	No	No

As nouns, eros is a hypernym of nymphomania; that is, eros is a word with a broader meaning than nymphomania:

Other hypernyms of nymphomania include concupiscence, physical attraction, sexual desire.

nymphomania (noun)	eros (noun)
abnormally intense sexual desire in women	a desire for sexual intimacy