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Beliebt Rechnen >

(dP)/(dt)=0.02P(1-P/(250000))

Lösung

\frac{d P}{d t} = 0.02 P (1 - \frac{P}{250000})

Lösung

P = - \frac{250000 e ^{0.02 t + c_{1}}}{1 - e ^{0.02 t + c_{1}}}

Schritte zur Lösung

\frac{d P}{d t} = 0.02 P (1 - \frac{P}{250000})

Solve separable ODE:

P = - \frac{250000 e ^{0.02 t + c_{1}}}{1 - e ^{0.02 t + c_{1}}}

P = - \frac{250000 e ^{0.02 t + c_{1}}}{1 - e ^{0.02 t + c_{1}}}

Graph

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