Consider a time-varying population that follows the logistic population model. The population has a limiting population of 800, and at timet=0 , its population of 200 is growing at a rate of 60 per year. Given the differential equation, dp/dt= 60p(1-p/800), how long will it take for the population to achieve 95% of its maximum population?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 9T
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Consider a time-varying population that follows the logistic population model. The population has a limiting population of 800, and at timet=0 , its population of 200 is growing at a rate of 60 per year.

Given the differential equation, dp/dt= 60p(1-p/800), how long will it take for the population to achieve 95% of its maximum population?

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