усыплять означает в английский

lull [lulled, lulling, lulls]▼(to cause to rest)
verb
[UK: lʌl] [US: ˈləl]

put down▼(administer euthanasia to an animal)
verb
[UK: ˈpʊt daʊn] [US: ˈpʊt ˈdaʊn]

put to sleep▼(to kill an animal)
verb
[UK: ˈpʊt tuː sliːp] [US: ˈpʊt ˈtuː sˈliːp]