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Beliebt Rechnen >

y^'=ry(1-y/k)

Lösung

y^{^{'}} = ry (1 - \frac{y}{k})

Lösung

y = - \frac{k e ^{r t + c_{1}}}{1 - e ^{r t + c_{1}}}

Schritte zur Lösung

y^{'} (t) = ry (1 - \frac{y}{k})

Solve separable ODE:

y = - \frac{k e ^{r t + c_{1}}}{1 - e ^{r t + c_{1}}}

y = - \frac{k e ^{r t + c_{1}}}{1 - e ^{r t + c_{1}}}

Graph

Beliebte Beispiele

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limit as x approaches 0 of x^{14}ln(x)

x \to 0 lim (x^{14} ln (x))

derivative of e^{3/2 x}

\frac{d}{d x} (e^{\frac{3}{2} x})

derivative of 1/((x-5^2))

\frac{d}{d x} (\frac{1}{( x - 5 ) ^{2}})

integral of (te^ti-4e^{-2t}j+8te^{t^2}k)

\int (t e^{t} i - 4 e^{- 2 t} j + 8 t e^{t^{2}} k) d t