A virus infect with contact and is most infectious at winter. If you get infected, you remains a carrier for an unlimited time. In an isolated population with P persons the rate of infection by time (after the first of january) is propotional with the product of :  1: the number y(t) infected 2: the number not infected 3: 1 + cos((pi*t)/6) 1/10 of the population is infected 1.january Make a differential equation that satisfies y(t), solve it, and explain every step

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A virus infect with contact and is most infectious at winter. If you get infected, you remains a carrier for an unlimited time. In an isolated population with P persons the rate of infection by time (after the first of january) is propotional with the product of : 

1: the number y(t) infected
2: the number not infected
3: 1 + cos((pi*t)/6)

1/10 of the population is infected 1.january

Make a differential equation that satisfies y(t), solve it, and explain every step

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