burst out vs appear

burst out and appear both are verbs.

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

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

burst out (verb)	appear (verb)
erupt or intensify suddenly	come into sight or view
give sudden release to an expression	be issued or published
appear suddenly or unexpectedly; happen unexpectedly	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