The Birth Rate in a Certain City Is 2% Per $y ^ { \prime } = 4000 - 0.005 y ?$

True/False

The birth rate in a certain city is 2% per year and the death rate is 2.5% per year. Also, there is a net movement of population into the city at the rate of 4000 people per year. Let N = f(t) be the city's population at time t. Write the differential equation satisfied by f(t). Does this equation accurately represent this situation: $y ^ { \prime } = 4000 - 0.005 y ?$