Explore BrainMass

# Population growth differential equation.

Not what you're looking for? Search our solutions OR ask your own Custom question.

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

The birth rate in a state is 2% per year and the rate is 1.3% per year. The population of the state is now 8,000,000.

a) At what rate are babies being born in the state now? with units

b) At what rate are people dying in the state now?

c) Write a differential equation that the population of the state satisfies. include the terms

d) Solve that differential equation

e) How many years till population gets to 10,000,000

f) Does the population have a steady rate? Explain

https://brainmass.com/math/calculus-and-analysis/population-growth-differential-equation-19326

#### Solution Preview

Let define the population birth rate as  and the unit is births per person per year. Here =2% or 0.02
Let us define the population death rate as  and the unit is deaths per person per year. Here =1.3% or 0.013

If the population at time t is N(t), then the number of births will be N(t).

1. If N(t)=8,000,000 then the rate of births is:

2. At the same year the ...

#### Solution Summary

The population growth for differential equations are provided. The rate babies are being born in the state is determined.

\$2.49