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Applications of Differential Equations and Logistic Equations

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The number of bacteria in a Petri dish was initially determined to be 200. After one hour, the number had increased to 500 and after another hour to 1,000. Assume that the rate of bacterial growth in the dish at any time t can be calculated using the logistic equation dB/dt = B(a-bB), which I know to use the formula B = aBo/(bBo+(a - bBo)e^(-at))).

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A differential equation is solved. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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