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Beliebt Rechnen >

(dy)/(dx)-y/(3x)+x/(3y)=0

Lösung

\frac{d y}{d x} - \frac{y}{3 x} + \frac{x}{3 y} = 0

Lösung

y = - \frac{x ^{2}}{2} + c_{1} x^{\frac{2}{3}}, y = - - \frac{x ^{2}}{2} + c_{1} x^{\frac{2}{3}}

Schritte zur Lösung

\frac{d y}{d x} - \frac{y}{3 x} + \frac{x}{3 y} = 0

Solve Bernoulli ODE:

y = - \frac{x ^{2}}{2} + c_{1} x^{\frac{2}{3}}, y = - - \frac{x ^{2}}{2} + c_{1} x^{\frac{2}{3}}

y = - \frac{x ^{2}}{2} + c_{1} x^{\frac{2}{3}}, y = - - \frac{x ^{2}}{2} + c_{1} x^{\frac{2}{3}}

Graph

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