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Population growth differential equation.

The birth rate in a state is 2% per year and the rate is 1.3% per year. The population of the state is now 8,000,000.

a) At what rate are babies being born in the state now? with units

b) At what rate are people dying in the state now?

c) Write a differential equation that the population of the state satisfies. include the terms

d) Solve that differential equation

e) How many years till population gets to 10,000,000

f) Does the population have a steady rate? Explain