baby's bed vs baby bed

baby's bed and baby bed both are nouns.

Word	Noun	Adjective	Verb	Adverb
baby's bed	Yes	No	No	No
baby bed	Yes	No	No	No

As nouns, baby's bed and baby bed are synonyms defined as:

baby's bed and baby bed: a small bed for babies; enclosed by sides to prevent the baby from falling

baby's bed (noun)	baby bed (noun)
a small bed for babies; enclosed by sides to prevent the baby from falling	a small bed for babies; enclosed by sides to prevent the baby from falling