In 2010, (when t = 0), the population of acountry was 1.16 billion people and increasing at a rateproportional to its population. If the population is measured inbillions of people and time is measured in years since 2010, theconstant of proportionality is 0.0138.
(a) Define the variables.
Let P be the population, in trillions of people, inyear t, where t represents the number of yearsbefore 2010.
Let P be the population, in billions of people, in yeart, where t represents the number of years before2010.   Â
Let P be the population, in billions of people, in yeart, where t represents the number of years since2010.Let P be the population, in billions of people, inmonth t, where t represents the number of yearsbefore 2010.
Let P be the population, in billions of people, in yeart, where t represents the current year.
(b) Write a differential equation to describe the relationship.
=
with initial condition P(0) =_____________
(c) Solve the differential equation.
P = _________________________
