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Beliebt Rechnen >

(dP)/(dt)=0.16P(1-P/(1000))-30,P(0)=200

Lösung

\frac{d P}{d t} = 0.16 P (1 - \frac{P}{1000}) - 30, P (0) = 200

Lösung

- 0.032 P + 2

Schritte zur Lösung

Finde

0.16 P (1 - \frac{P}{1000}) - 30

gegeben

P (0) = 200

0.16 P (1 - \frac{P}{1000}) - 30 = 0.16 P (1 - \frac{P}{1000}) - 30

P : 200

\frac{P}{1000} : \frac{200}{1000}

= 0.16 \cdot 200 (1 - \frac{P}{1000}) - 30

Multipliziere aus

0.16 \cdot 200 (1 - \frac{P}{1000}) - 30 : - 0.032 P + 2

= - 0.032 P + 2

Graph

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