mule vs equine

mule and equine both are nouns.

Word	Noun	Adjective	Verb	Adverb
mule	Yes	No	No	No
equine	Yes	Yes	No	No

As nouns, equine is a hypernym of mule; that is, equine is a word with a broader meaning than mule:

mule: hybrid offspring of a male donkey and a female horse; usually sterile
equine: hoofed mammals having slender legs and a flat coat with a narrow mane along the back of the neck

Other hypernyms of mule include equid.

mule (noun)	equine (noun)
hybrid offspring of a male donkey and a female horse; usually sterile	hoofed mammals having slender legs and a flat coat with a narrow mane along the back of the neck
a slipper that has no fitting around the heel

mule (adjective)	equine (adjective)
	resembling a horse
	of or belonging to the family Equidae