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=100% persons (In this population no one dies or give birth to any), the infection rate at the 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) initial value Y(o)= 1/10 of P if : Y(1) is = 1/5 of  P   i need help to find a dif. equation and solve for y(12)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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=100% persons (In this population no one dies or give birth to any), the infection rate at the 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)

initial value Y(o)= 1/10 of P

if : Y(1) is = 1/5 of  P

 

i need help to find a dif. equation and solve for y(12)

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