The population of a town is growing according to the differential equation (dy)/(dt)=ky The growth constant, k, is equal to 0.13 year ^-1. The size of the population at the start of the year 2000 was 5 thousand.
Since the population is growing exponentially, the population in year t is given by y=5 e^(0.13 t)

Here, y is measured in thousands and t is measured in years since 2000.

What is the population of the town at the start of the year 2007?

How many years does it take for the population to double?

What will be the size of the population after three doubling times have passed? (That is, after three times the correct answer to part b have passed?)