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Beliebt Rechnen >

2x^3(dy)/(dx)=y(2x^2-y^2)

Lösung

2 x^{3} \frac{d y}{d x} = y (2 x^{2} - y^{2})

Lösung

y = \frac{x}{ln ( x ) + c _{1}}, y = - \frac{x}{ln ( x ) + c _{1}}

Schritte zur Lösung

2 x^{3} \frac{d y}{d x} = y (2 x^{2} - y^{2})

Solve Bernoulli ODE:

y = \frac{x}{ln ( x ) + c _{1}}, y = - \frac{x}{ln ( x ) + c _{1}}

y = \frac{x}{ln ( x ) + c _{1}}, y = - \frac{x}{ln ( x ) + c _{1}}

Graph

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