In 2010, (when t = 0), the population of a country was 1.16 billion people and...

In 2010, (when t = 0), the population of a country was 1.16 billion people and increasing at a rate proportional to its population. If the population is measured in billions of people and time is measured in years since 2010, the constant of proportionality is 0.0138.

(a) Define the variables.

Let P be the population, in trillions of people, in year t, where t represents the number of years before 2010.

Let P be the population, in billions of people, in year t, where t represents the number of years before 2010.

Let P be the population, in billions of people, in year t, where t represents the number of years since 2010.Let P be the population, in billions of people, in month t, where t represents the number of years before 2010.

Let P be the population, in billions of people, in year t, where t represents the current year.

(b) Write a differential equation to describe the relationship.

dP

dt

=

with initial condition P(0) = _____________

(c) Solve the differential equation.
P = _________________________

Expert Solution

milcah answered 2 years ago

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