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Beliebt Rechnen >

xsqrt(1-y^2dx)+ysqrt(1-x^2)dy=0

Lösung

x 1 - y^{2} d x + y 1 - x^{2} d y = 0

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

x 1 - y^{2} d x + y 1 - x^{2} d y = 0

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

\frac{d y}{d t} - t y = y

d/(dθ)(r(θ))+r(θ)tan(θ)=tan(θ)

\frac{d}{d θ} (r (θ)) + r (θ) tan (θ) = tan (θ)

(dy)/(dx)=(1+x^2)/(1-y^2),y=0,x=0

\frac{d y}{d x} = \frac{1 + x ^{2}}{1 - y ^{2}}, y = 0, x = 0

f^'(x)+2xf(x)=0,f(0)=3

f^{^{'}} (x) + 2 x f (x) = 0, f (0) = 3

-2y(dy)/(dx)+x^2+2x^4=0

- 2 y \frac{d y}{d x} + x^{2} + 2 x^{4} = 0