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Suppose That the Function P(t)satisfies the Differential Equation P′(t)=P(t)(3−P(t))P ^ { \prime } ( t ) = P ( t ) ( 3 - P ( t ) )

Question 75

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Suppose that the function P(t)satisfies the differential equation P′(t)=P(t)(3−P(t))P ^ { \prime } ( t ) = P ( t ) ( 3 - P ( t ) ) with the initial condition P(0)= 1.Find P"(0).

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