Question: Derive the solution of the logistic initial value problem P' = kP(M - P), P(0) = P 0 . Make it clear how your derivation

Derive the solution


P(t)= MPo Po+(M-Po)e-kMt


of the logistic initial value problem P' = kP(M - P), P(0) = P0. Make it clear how your derivation depends on whether 0 0 0 > M.

P(t)= MPo Po+(M-Po)e-kMt

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