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Beliebt Rechnen >

(dy)/(dx)=y+y^3

Lösung

\frac{d y}{d x} = y + y^{3}

Lösung

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

Schritte zur Lösung

\frac{d y}{d x} = y + y^{3}

Solve separable ODE:

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

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

Graph

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