A virus infects by contact and is more contagious during winter. if you are first infected, you will remain infected for an unlimited time. In an isolated population with P persons (In this population no one dies or give birth to any), the infection rate at time (for months after 1/1 2020) is proportional to the product of: (1) the amount of people y(t) that are infected. (2) the amount that is no infected (3) a seasonal variation in infectiousness: 1+cos((pi/6) t) i need help to check my results this is de equation i used dy(t)dt=k y(t)[P-y(t)][1+cos(π6t)] and the result i got is y(12)=0.9985

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 contact and is more contagious during winter. if you are first infected, you will remain infected for an unlimited time.

In an isolated population with P persons (In this population no one dies or give birth to any), the infection rate at time (for months after 1/1 2020) is proportional to the product of:

(1) the amount of people y(t) that are infected.

(2) the amount that is no infected

(3) a seasonal variation in infectiousness: 1+cos((pi/6) t)

i need help to check my results

this is de equation i used

dy(t)dt=k y(t)[P-y(t)][1+cos(π6t)]

and the result i got

is y(12)=0.9985

 

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