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Beliebt Rechnen >

(dy)/(dx)=(x^2)/(10y)-(2x)/(5y)

Lösung

\frac{d y}{d x} = \frac{x ^{2}}{10 y} - \frac{2 x}{5 y}

Lösung

y = \frac{x ^{3} + 3 ( - 2 x ^{2} + c _{1} )}{15}, y = - \frac{x ^{3} + 3 ( - 2 x ^{2} + c _{1} )}{15}

Schritte zur Lösung

\frac{d y}{d x} = \frac{x ^{2}}{10 y} - \frac{2 x}{5 y}

Solve separable ODE:

y = \frac{x ^{3} + 3 ( - 2 x ^{2} + c _{1} )}{15}, y = - \frac{x ^{3} + 3 ( - 2 x ^{2} + c _{1} )}{15}

y = \frac{x ^{3} + 3 ( - 2 x ^{2} + c _{1} )}{15}, y = - \frac{x ^{3} + 3 ( - 2 x ^{2} + c _{1} )}{15}

Graph

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