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Beliebt Rechnen >

(dP)/(dt)=0.0017P(1-P/(6200))

Lösung

\frac{d P}{d t} = 0.0017 P (1 - \frac{P}{6200})

Lösung

P = - \frac{6200 e ^{0.0017 t + c_{1}}}{1 - e ^{0.0017 t + c_{1}}}

Schritte zur Lösung

\frac{d P}{d t} = 0.0017 P (1 - \frac{P}{6200})

Solve separable ODE:

P = - \frac{6200 e ^{0.0017 t + c_{1}}}{1 - e ^{0.0017 t + c_{1}}}

P = - \frac{6200 e ^{0.0017 t + c_{1}}}{1 - e ^{0.0017 t + c_{1}}}

Graph

Beliebte Beispiele

(dy)/(dx)+15x^2y=2x^2,y(0)=3

(dx)/(dt)=80-x/(1000),x=5000,t=0

(dy)/(dx)= y/(sqrt(1-x^2))

(dy)/(dx)=8-15y