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Beliebt Rechnen >

(dy)/(dx)=(xsqrt(1-y^2))/(ysqrt(1-x^2))

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

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