eczema vs skin disorder

eczema and skin disorder both are nouns.

Word	Noun	Adjective	Verb	Adverb
eczema	Yes	No	No	No
skin disorder	Yes	No	No	No

As nouns, skin disorder is a hypernym of eczema; that is, skin disorder is a word with a broader meaning than eczema:

eczema: generic term for inflammatory conditions of the skin; particularly with vesiculation in the acute stages
skin disorder: a disease affecting the skin

Other hypernyms of eczema include disease of the skin, skin disease.

eczema (noun)	skin disorder (noun)
generic term for inflammatory conditions of the skin; particularly with vesiculation in the acute stages	a disease affecting the skin