A certain rumor spreads through a community at the rate dy/dt=3y(1+y) , where y is the portion of the population that has heard the rumor at time t. If at time t = 0, four percent of the population have heard the rumor, find y as a function of t.

A certain rumor spreads through a community at the rate dy/dt=3y(1+y) , where y is the portion of the population that has heard the rumor at time t. If at time t = 0, four percent of the population have heard the rumor, find y as a function of t.

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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A certain rumor spreads through a community at the rate dy/dt=3y(1+y) , where y is the portion of the population that has heard the rumor at time t.
If at time t = 0, four percent of the population have heard the rumor, find y as a function of t.

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