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A virus infects by close contact, is most contagious during the winter and everyone who becomes infected stay infectious for an unlimited amount of time. In an isolated population with P people the infection rate by time t (in months after 1/1 2020) is proportional with the product of (1) The number of people infected (y(t)) (2) The number of people NOT infected (3) 1+ cos A tenth of the population is infected 1/1 2020. The task: Set up the differential equation that y(t) must satisfy and solve it. Call the proportionality constant k and explain each step in the solution.

A virus infects by close contact, is most contagious during the winter and everyone who becomes infected stay infectious for an unlimited amount of time. In an isolated population with P people the infection rate by time t (in months after 1/1 2020) is proportional with the product of (1) The number of people infected (y(t)) (2) The number of people NOT infected (3) 1+ cos A tenth of the population is infected 1/1 2020. The task: Set up the differential equation that y(t) must satisfy and solve it. Call the proportionality constant k and explain each step in the solution.

Algebra & Trigonometry with Analytic Geometry
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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A virus infects by close contact, is most contagious during the winter and everyone who becomes infected stay infectious for an unlimited amount of time. In an isolated population with P people the infection rate by time t (in months after 1/1 2020) is proportional with the product of (1) The number of people infected (y(t)) (2) The number of people NOT infected (3) 1+ cos A tenth of the population is infected 1/1 2020. The task: Set up the differential equation that y(t) must satisfy and solve it. Call the proportionality constant k and explain each step in the solution.
Transcribed Image Text:A virus infects by close contact, is most contagious during the winter and everyone who becomes infected stay infectious for an unlimited amount of time. In an isolated population with P people the infection rate by time t (in months after 1/1 2020) is proportional with the product of (1) The number of people infected (y(t)) (2) The number of people NOT infected (3) 1+ cos A tenth of the population is infected 1/1 2020. The task: Set up the differential equation that y(t) must satisfy and solve it. Call the proportionality constant k and explain each step in the solution.
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