Just question 6 please A third wave SARS-COV-2 variant virus has evolved and is spreading in a small town York with apopulation of 13 070 people. Initially, only one adult had the virus. Suppose that the rate at which thepeople of York contract the virus is directly proportional to the size of the population P(t). Let P(t)denote the number of people who have the virus after t days.(i) Write down the differential equation and the solution of P(t) in terms of the initial value P(0).(ii) After 3 days, 15 people have the virus. How many people will have the virus after 7 days?(iii) Plot the phase line of the model.(iv) Find the rate of change of P at t = 0, t = 3 and t = 7. (Remember that the rate of change is thederivative!)(v) Use the information above to plot the solution curve P(t) as a function of time.(vi) What does the model predict in the long run?

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Description: Just question 6 please A third wave SARS-COV-2 variant virus has evolved and is spreading in a small town York with apopulation of 13 070 people. Initially, only one adult had the virus. Suppose that the rate at which thepeople of York contract the v

The model can be used to predict the number of days required to infect the entire town.

Answered: What does the model predict in the long…

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What does the model predict in the long run?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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Just question 6 please

A third wave SARS-COV-2 variant virus has evolved and is spreading in a small town York with a
population of 13 070 people. Initially, only one adult had the virus. Suppose that the rate at which the
people of York contract the virus is directly proportional to the size of the population P(t). Let P(t)
denote the number of people who have the virus after t days.
(i) Write down the differential equation and the solution of P(t) in terms of the initial value P(0).
(ii) After 3 days, 15 people have the virus. How many people will have the virus after 7 days?
(iii) Plot the phase line of the model.
(iv) Find the rate of change of P at t = 0, t = 3 and t = 7. (Remember that the rate of change is the
derivative!)
(v) Use the information above to plot the solution curve P(t) as a function of time.
(vi) What does the model predict in the long run?

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ISBN:

9780470458365

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