The Prophet of Allah (ﷺ) ordered to kill dogs, and we were even killing a dog which a woman brought with her from the desert. Afterwards he forbade to kill them, saying: Confine yourselves to the type which is black.
Sunan Abi Dawud Book 17, Hadith 3
← Previous Hadith The Prophet (ﷺ) said: Were dogs not a species of creature I should command that they all be killed; but kill every pure black one.

Sunan Abi Dawud Book 17, Hadith 2 Next Hadith → I asked the Prophet (ﷺ) ,and said: I set off my trained dogs, and they catch (something) for me: may I eat (it)? He said: When you set off trained dogs and mention Allah's name, eat what they catch for you. I said: Even if they killed (the game)? He said: Even if they killed (the game) as long as another dog does not join it. I said: I shoot with a featherless arrow, and it strikes the target, may I eat (it) ? He said: If you shoot with a featherless arrow and mention Allah's name, and it strikes the aim, and pierce it, eat it ; and if it strikes with its middle, do not eat (it).

Sunan Abi Dawud Book 17, Hadith 4