Zombie virus is spreading through a city of 50000 people who take no precautions. The virus was brought to the town by 100 people and it was found that 1000 people were infected after 10 weeks. estimate the population at t =10 for interval 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Zombie virus is spreading through a city of 50000 people who take no precautions. The virus
was brought to the town by 100 people and it was found that 1000 people were infected after
10 weeks. estimate the population at t = 10 for interval 0<t<10 by using RK-4 method.
Use a step size h=2. Given the differential equation
dP
= kP(P, – P)
dt
where k is a constant, t is a time in weeks, P is a population and P, is initial population.
Transcribed Image Text:Zombie virus is spreading through a city of 50000 people who take no precautions. The virus was brought to the town by 100 people and it was found that 1000 people were infected after 10 weeks. estimate the population at t = 10 for interval 0<t<10 by using RK-4 method. Use a step size h=2. Given the differential equation dP = kP(P, – P) dt where k is a constant, t is a time in weeks, P is a population and P, is initial population.
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