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Beliebt Rechnen >

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

Lösung

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

Lösung

y = \frac{2 e ^{2 x}}{- 2 x e ^{2 x} + e ^{2 x} + c _{1}}, y = - \frac{2 e ^{2 x}}{- 2 x e ^{2 x} + e ^{2 x} + c _{1}}

Schritte zur Lösung

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

Solve Bernoulli ODE:

y = \frac{2 e ^{2 x}}{- 2 x e ^{2 x} + e ^{2 x} + c _{1}}, y = - \frac{2 e ^{2 x}}{- 2 x e ^{2 x} + e ^{2 x} + c _{1}}

y = \frac{2 e ^{2 x}}{- 2 x e ^{2 x} + e ^{2 x} + c _{1}}, y = - \frac{2 e ^{2 x}}{- 2 x e ^{2 x} + e ^{2 x} + c _{1}}

Graph

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