Differential Equations Quiz
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APPLICATIONS OF FIRST-ORDER ODES
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In a population of N individuals, the number of people who have a certain piece of information is I(t). The information spreads at a rate proportional to the product of those who have the information and those who do not. Additionally, those who have the information can forget it and become uninformed again, at a rate proportional to the square root of the number of informed people. Let k be the transmission rate constant and γ be the forgetting rate constant. Which differential equation models I(t)?
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