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Consider the following logistic equation that describes the population dynamics of small of species number = a X(t) (k - X(+)) / k Where

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Consider the following logistic equation that describes the population dynamics of small of species number = a X(t) (k - X(+)) / k Where dx() dt - 1 a K is the population growth rate. is the environment constant (that is, the asymptotic solution) given by Dam X(t) = k tx Determine the solution for the above differential equation with X (0) = X -

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