put down vs euthanize

put down and euthanize both are verbs.

Word	Noun	Adjective	Verb	Adverb
put down	No	No	Yes	No
euthanize	No	No	Yes	No

As verbs, euthanize is a hypernym of put down; that is, euthanize is a word with a broader meaning than put down:

Other hypernyms of put down include euthanatise, euthanatize, euthanise, mercy kill.

put down (verb)	euthanize (verb)
put down in writing; of texts, musical compositions, etc.	intentionally cause the painless death of a person or animal
make a record of; set down in permanent form
put in a horizontal position
remove (cargo, people, etc.) from and leave
cause to sit or seat or be in a settled position or place
put (an animal) to death
reduce in worth or character, usually verbally
cause to come to the ground