asylum vs hospital

asylum and hospital both are nouns.

Word	Noun	Adjective	Verb	Adverb
asylum	Yes	No	No	No
hospital	Yes	No	No	No

As nouns, hospital is a hypernym of asylum; that is, hospital is a word with a broader meaning than asylum:

Other hypernyms of asylum include infirmary.

asylum (noun)	hospital (noun)
a hospital for mentally incompetent or unbalanced person	a health facility where patients receive treatment
a shelter from danger or hardship	a medical institution where sick or injured people are given medical or surgical care