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Beliebt Rechnen >

y^'=b(1-y)y

Lösung

y^{^{'}} = b (1 - y) y

Lösung

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

Schritte zur Lösung

y^{'} (t) = b (1 - y) y

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

derivative 247x-19x^2

d er i v a t i v e 247 x - 19 x^{2}

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\int {y (2 a x + b y)} d x

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x \to - 3 lim (\frac{2}{x + 3})

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\frac{d}{d x} (\frac{x ^{2} - 2 x + 5}{x ^{2} + 2 x - 3})

integral of (4x^5-4)/(x^2-4)

\int \frac{4 x ^{5} - 4}{x ^{2} - 4} d x