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Beliebt Rechnen >

y^'=-(xsqrt(1+y^2))/(ysqrt(1+x^2))

Lösung

y^{^{'}} = - \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

y^{'} (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

Beliebte Beispiele

(dv)/(dt)=5-2*v

\frac{d v}{d t} = 5 - 2 \cdot v

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

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

y^'=-(2t(y^2+1))/y ,y(0)=1

y^{^{'}} = - \frac{2 t ( y ^{2} + 1 )}{y}, y (0) = 1

ty+y^2+(t^2+ty)(dy)/(dt)=0

t y + y^{2} + (t^{2} + t y) \frac{d y}{d t} = 0

y^'+y=2,y(-2)=1

y^{^{'}} + y = 2, y (- 2) = 1