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Beliebt Rechnen >

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

Lösung

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

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

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

Beliebte Beispiele

sum from n=0 to infinity of (n^2+1)/(n!)

n = 0 \sum \infty \frac{n ^{2} + 1}{n !}

d/(du)(sqrt((u-1)/(u+1)))

\frac{d}{d u} (\frac{u - 1}{u + 1})

(d^2y)/(dx^2)-(dy)/(dx)-30y=0

\frac{d ^{2} y}{d x ^{2}} - \frac{d y}{d x} - 30 y = 0

derivative of sin^3(cos(7x^2))

\frac{d}{d x} (sin^{3} (cos (7 x^{2})))

(dy)/(dt)-2y=3e^t

\frac{d y}{d t} - 2 y = 3 e^{t}