Answer:
The English basically showed up with a few warships and a ton of soldiers and took it and the dutch gave it up without a fight.
Explanation:
At this point in history the english and dutch had already fought a few times and the english had pretty much dominated them, they also had a far larger colonial holding in america as well as a far larger population. The dutch however only had about 9,000 people in total at the colony of New Amsterdam aka new york. So in short the dutch basically were told to go away or get squashed.