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Beliebt Rechnen >

(dy}{dx}=\frac{xsqrt(x^2-1))/y

Lösung

\frac{d y}{d x} = \frac{x x ^{2} - 1}{y}

Lösung

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

Schritte zur Lösung

\frac{d y}{d x} = \frac{x x ^{2} - 1}{y}

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

integral of (3p^2-2)^2e^{-4p}

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fläche y=x^2,x= y/2

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