## Question

###### Suppose, that in town X the number of people P(t), who have heard rumor changes proportion to the number of pcople who have heard the rumor and the number of Assume that town X has fixed total population people who have not heard the rumor of N people: (a) Provide differential equation that models hOw' rumor spreads in town X. (6) Draw phase line for your DE assu.ing your constant of proportionality is neg- ative. (c) Draw phase line for Four DE assuming YOUr constant of proportionality is

Suppose, that in town X the number of people P(t), who have heard rumor changes proportion to the number of pcople who have heard the rumor and the number of Assume that town X has fixed total population people who have not heard the rumor of N people: (a) Provide differential equation that models hOw' rumor spreads in town X. (6) Draw phase line for your DE assu.ing your constant of proportionality is neg- ative. (c) Draw phase line for Four DE assuming YOUr constant of proportionality is pos- ilive

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