burst forth vs appear

burst forth and appear both are verbs.

Word	Noun	Adjective	Verb	Adverb
burst forth	No	No	Yes	No
appear	No	No	Yes	No

As verbs, appear is a hypernym of burst forth; that is, appear is a word with a broader meaning than burst forth:

burst forth (verb)	appear (verb)
be unleashed; emerge with violence or noise	come into sight or view
come into or as if into flower	be issued or published
jump out from a hiding place and surprise (someone)	come into being or existence, or appear on the scene
	appear as a character on stage or appear in a play, etc.
	give a certain impression of being something or having a certain aspect
	(of a proposition) seem to be true, probable, or apparent
	present oneself formally, as before a (judicial) authority