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?

Question

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?

Quizplus · Accepted Answer

The Answer of 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?

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

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