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Beliebt Rechnen >

sqrt(1-y^2dx)=(1+x^2)ydy

Lösung

1 - y^{2} d x = (1 + x^{2}) y d y

Lösung

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

Schritte zur Lösung

1 - y^{2} d x = (1 + x^{2}) y d y

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

(dx)/(dt)=e^x*t*cos(t)

\frac{d x}{d t} = e^{x} \cdot t \cdot cos (t)

y^'=(4ty)/(2+t^2),y(0)=4

y^{^{'}} = \frac{4 t y}{2 + t ^{2}}, y (0) = 4

e^yy^'-x^2=0,y(0)=0

e^{y} y^{^{'}} - x^{2} = 0, y (0) = 0

y^'=xe^ysqrt(x^2-2)

y^{^{'}} = x e^{y} x^{2} - 2

y^'-(tan(x))y=0

y^{^{'}} - (tan (x)) y = 0