Answered: A population of bacteria grows…

A population of bacteria grows according to the logistic equation dP = 0.05P(1 – 0.001P) dt When t = 0, the population is 300g. Find the population P at the time t. Find the limit lim P(t). t00

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section: Chapter Questions

Problem 18T

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

A population of bacteria grows according to the logistic equation
dP
= 0.05P(1 – 0.001P)
dt
When t = 0, the population is 300g. Find the population P at the time t. Find the limit lim P(t).
t00

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