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Beliebt Rechnen >

(dy)/(dx)=(y-1)(1-2y)

Lösung

\frac{d y}{d x} = (y - 1) (1 - 2 y)

Lösung

y = - \frac{e ^{x + c_{1}}}{1 - e ^{x + c_{1}}} + \frac{1}{2 ( 1 - e ^{x + c_{1}} )}

Schritte zur Lösung

\frac{d y}{d x} = (y - 1) (1 - 2 y)

Solve separable ODE:

y = - \frac{e ^{x + c_{1}}}{1 - e ^{x + c_{1}}} + \frac{1}{2 ( 1 - e ^{x + c_{1}} )}

y = - \frac{e ^{x + c_{1}}}{1 - e ^{x + c_{1}}} + \frac{1}{2 ( 1 - e ^{x + c_{1}} )}

Graph

Beliebte Beispiele

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\int \frac{7 ln ( x )}{x ^{3}} d x

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\int \frac{1}{7 - 8 x} d x