Diff EqLogistic

Logistic Growth — dP/dt = kP(1−P/M)

Solve the logistic ODE analytically. Find the S-curve, inflection point, and carrying capacity with step-by-step separation of variables.

Live Calculator · Step-by-Step · Differential Equations

Parameters

Carrying capacity M

Growth rate k

Initial population P₀

Time t to evaluate P(t)

Results

P(t) at given time

Enter values and solve.

Inflection Point

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Carrying Capacity

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Solution Formula

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Step-by-Step Derivation

Enter parameters and solve.

Logistic S-Curve P(t)

Put It Into Practice

The calculator shows the steps — a quiz proves you can do them on your own.

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