I want to euthanise my neighbors dangerous pitbull dog
Why would you Euthanise your neighbor's dog?
Several reasons, the dog is dangerous (my mother is scared of it) and it ruins my grass
Might I suggest speaking with your neighbor about this. You should not intentionally harm the neighbors dog. You would be better off just talking to them about the issues.
Oh boy, this is just not realistic way to solve it. My neighbors are hicks and will never listen to me.
I am sorry that talking won't resolve the problem but hurting the animal is wrong. You could call animal control when the animal is out of control.