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Beliebt Rechnen >

(dP)/(dt)=P(0.0005P-0.1),P(0)=300

Lösung

\frac{d P}{d t} = P \cdot (0.0005 \cdot P - 0.1), P (0) = 300

Lösung

P = \frac{0.1}{- e ^{\frac{t + 10 l n ( 0.0005 - \frac{0.1}{300} )}{10}} + 0.0005}

Schritte zur Lösung

\frac{d P}{d t} = P \cdot (0.0005 \cdot P - 0.1)

Solve Bernoulli ODE:

P = \frac{0.1}{- e ^{\frac{t + 10 l n ( 0.0005 - \frac{0.1}{300} )}{10}} + 0.0005}

P = \frac{0.1}{- e ^{\frac{t + 10 l n ( 0.0005 - \frac{0.1}{300} )}{10}} + 0.0005}

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