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Beliebt Rechnen >

y^'= y/(sqrt(1-x^2))

Lösung

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

Lösung

y = e^{a r c s i n (x) + c_{1}}

Schritte zur Lösung

y^{'} (x) = \frac{y}{1 - x ^{2}}

Solve separable ODE:

y = e^{a r c s i n (x) + c_{1}}

y = e^{a r c s i n (x) + c_{1}}

Graph

Beliebte Beispiele

(dy)/(dx)=7\sqrt[4]{xy}

\frac{d y}{d x} = 7 4 x y

(dy)/(dt)+sqrt([1+t^2])*e^{-t}y=0,y[0]=1

\frac{d y}{d t} + [1 + t^{2}] \cdot e^{- t} y = 0, y [0] = 1

(dz)/(dt)+e^{2t+2z}=0

\frac{d z}{d t} + e^{2 t + 2 z} = 0

(dy)/(dx)=4x^6sqrt(y)

\frac{d y}{d x} = 4 x^{6} y

(dy)/(dx)=xy^2e^x,y(0)=2

\frac{d y}{d x} = x y^{2} e^{x}, y (0) = 2