coeducational vs co-ed

coeducational is not a noun while co-ed is a noun.

Word	Noun	Adjective	Verb	Adverb
coeducational	No	Yes	No	No
co-ed	Yes	Yes	No	No

As adjectives, coeducational and co-ed are synonyms defined as:

coeducational (noun)	co-ed (noun)
	a female student at a coeducational college or university

coeducational (adjective)	co-ed (adjective)
attended by members of both sexes	attended by members of both sexes