Suppose that at time t 0, 10 thousand people in a city with population 100 thousand people have heard a certain rumor. After 1 week the number P(t) of those who have heard it has increased to P(1) = 20 thousand. Assuming that P(t) satisfies a logistic equation, when will 80% of the city's population have heard the rumor?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Suppose that at time t 0, 10 thousand people in a city with population 100 thousand
people have heard a certain rumor. After 1 week the number P(t) of those who have heard
it has increased to P(1) = 20 thousand. Assuming that P(t) satisfies a logistic equation,
when will 80% of the city's population have heard the rumor?
Transcribed Image Text:Suppose that at time t 0, 10 thousand people in a city with population 100 thousand people have heard a certain rumor. After 1 week the number P(t) of those who have heard it has increased to P(1) = 20 thousand. Assuming that P(t) satisfies a logistic equation, when will 80% of the city's population have heard the rumor?
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