Question

A city block has 6 pigeons and then 1 week later there are 9 pigeons. Let P(t)be the number of pigeons where t is measured in weeks.
Assuming the growth continues proportionally, at the same rate, what is the differential equation which describes the growth of the pigeon population?

Answer 1

Using proportions, it is found that the differential equation which describes the growth of the pigeon population is given by:

$\frac{dP}{dt} = 1.5P$

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, considering the initial population and the population one week later, the rate of growth is given by:

k = 9/6 = 1.5.

The standard differential equation for population growth is:

$\frac{dP}{dt} = kP$

Hence:

$\frac{dP}{dt} = 1.5P$

More can be learned about proportions at brainly.com/question/24372153

#SPJ1