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Beliebt Rechnen >

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

Lösung

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

Lösung

y = sin (arctan (x) + c_{1})

Schritte zur Lösung

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

Solve separable ODE:

y = sin (arctan (x) + c_{1})

y = sin (arctan (x) + c_{1})

Graph

Beliebte Beispiele

(dy)/(dx)=14xsec(y)

\frac{d y}{d x} = 14 x sec (y)

y^'=-(x-3)/(36y-108),y(3)=4

y^{^{'}} = - \frac{x - 3}{36 y - 108}, y (3) = 4

(dS)/(dt)=0.04-S/((1140))

\frac{d S}{d t} = 0.04 - \frac{S}{( 1140 )}

5 y^{^{'}} = 4 x + 2 x y

(1+x^2)y^'=1+y^2

(1 + x^{2}) y^{^{'}} = 1 + y^{2}