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Suppose That the Function P(t)satisfies the Differential Equation P(t)=P(t)(6P(t))P ^ { \prime } ( t ) = P ( t ) ( 6 - P ( t ) )

question 98

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Suppose that the function P(t)satisfies the differential equation P(t)=P(t)(6P(t))P ^ { \prime } ( t ) = P ( t ) ( 6 - P ( t ) ) with the initial condition P(0)= 4.Which of the following is a possible graph for P(t)for small t > 0?  Suppose that the function P(t)satisfies the differential equation  P ^ { \prime } ( t ) = P ( t ) ( 6 - P ( t ) )  with the initial condition P(0)= 4.Which of the following is a possible graph for P(t)for small t > 0?


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