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Differential EquationsMediumModels & Qualitative Behavior

Models & Qualitative Behavior · Medium problem

A population obeys P′=110P(1−P200)P' = \frac{1}{10}P\left(1 - \dfrac{P}{200}\right) with P(0)=20P(0) = 20. What value does P(t)P(t) approach as t→∞t \to \infty?