- #1

- 70

- 0

## Homework Statement

I'm given a table of census data for the US. I'm supposed to construct a logistic population model using these numbers: (t in decades and population in millions) P(0) = 3.929, P(6) = 23.192, and P(12) = 91.972

## Homework Equations

__dP__= P(a - bP)

dt

P(t) = aP

_{0}/(bP

_{0}+ (a - bP

_{0})e

^{-at})

## The Attempt at a Solution

I've been working on it for several hours now. I tried to make a system of equations but the e

^{x}factor is fowling it up. I used http://www.ugrad.math.ubc.ca/coursedoc/math101/notes/moreApps/logistic.html" model but it didn't give very accurate numbers. I have 3 pages of marked out numbers and no good answers to show for it. How do I find the constants a and b?

Last edited by a moderator: