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6. At any time t > 0, the rate of the spread of an epidemic is modeled by a function y that satisfies the differential equation =y(1 -). In an isolated town of 1000 1000 inhabitants, 100 people have a disease at the beginning of the week. A. Is the disease spreading faster when 100 people have the disease or when 200 people have the disease? Explain your reasoning. B. At what population is the epidemic spreading the fastest? Explain.

6. At any time t > 0, the rate of the spread of an epidemic is modeled by a function y that satisfies the differential equation =y(1 -). In an isolated town of 1000 1000 inhabitants, 100 people have a disease at the beginning of the week. A. Is the disease spreading faster when 100 people have the disease or when 200 people have the disease? Explain your reasoning. B. At what population is the epidemic spreading the fastest? Explain.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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6. At any time t > 0, the rate of the spread of an epidemic is modeled by a function y that satisfies the differential equation =y(1 -). In an isolated town of 1000 1000 inhabitants, 100 people have a disease at the beginning of the week. A. Is the disease spreading faster when 100 people have the disease or when 200 people have the disease? Explain your reasoning. B. At what population is the epidemic spreading the fastest? Explain.
Transcribed Image Text:6. At any time t > 0, the rate of the spread of an epidemic is modeled by a function y that satisfies the differential equation =y(1 -). In an isolated town of 1000 1000 inhabitants, 100 people have a disease at the beginning of the week. A. Is the disease spreading faster when 100 people have the disease or when 200 people have the disease? Explain your reasoning. B. At what population is the epidemic spreading the fastest? Explain.
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