The population of a community is known to increase at a rate proportional to the number of people present at time t. If the population has doubled in 10 years, how long will it take to triple? Determine the differential equation necessary to answer this question.

The population of a community is known to increase at a rate proportional to the number of people present at time t. If the population has doubled in 10 years, how long will it take to triple? Determine the differential equation necessary to answer this question.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter11: Differential Equations

Section11.1: Solutions Of Elementary And Separable Differential Equations

Problem 15E: Find the general solution for each differential equation. Verify that each solution satisfies the...

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CIRCLE OR EMBOLDEN ANSWER

The population of a community is known to increase at a rate proportional to the number of people
present at time t. If the population has doubled in 10 years, how long will it take to triple?
Determine the differential equation necessary to answer this question.
O dP/dt = P, P(0)=Po. P(10)=2Po
dP/dt = kt, P(0)=Po, P(10)=2Po
%3D
dP/dt = kP, P(0)=Po, P(10)=2Po
dP/dt = kt, t(0)=to, t(10)=2to

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