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Beliebt Rechnen >

(dP)/(dt)=P(0.1-10^{-7}P)

Lösung

\frac{d P}{d t} = P (0.1 - 1 0^{- 7} P)

Lösung

P = \frac{0.1 e ^{\frac{t + c _{1}}{10}}}{0.0000001 ( - 1 + e ^{\frac{c _{1} + t}{10}} )}

Schritte zur Lösung

\frac{d P}{d t} = P (0.1 - 1 0^{- 7} P)

Solve separable ODE:

P = \frac{0.1 e ^{\frac{t + c _{1}}{10}}}{0.0000001 ( - 1 + e ^{\frac{c _{1} + t}{10}} )}

P = \frac{0.1 e ^{\frac{t + c _{1}}{10}}}{0.0000001 ( - 1 + e ^{\frac{c _{1} + t}{10}} )}

Graph

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