Question

Birth rate stabilised to 140 million per year differential equation

Answer 1

n 2010, the world population was 6.9 billion. The birth rate had stabilized to 140 million per year and is projected to remain constant. The death rate is projected to increase from 57 million per year in 2010 to 80 million per year in 2040 and to continue increasing at the same rate.

a) Assuming the death rate increases linearly, write a differential equation for P(t), the world population in billions t years in 2010.

b) solve the differential equation