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Beliebt Rechnen >

(dx)/(dy)=xsqrt(1-y^2)

Lösung

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

Lösung

x = e^{\frac{1}{2} (a r c s i n (y) + \frac{1}{2} s i n (2 a r c s i n (y))) + c_{1}}

Schritte zur Lösung

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

Solve separable ODE:

x = e^{\frac{1}{2} (a r c s i n (y) + \frac{1}{2} s i n (2 a r c s i n (y))) + c_{1}}

x = e^{\frac{1}{2} (a r c s i n (y) + \frac{1}{2} s i n (2 a r c s i n (y))) + c_{1}}

Graph

Beliebte Beispiele

d er i v a t i v e \frac{x}{3}

y^{''}-7y^'+10y=e^{3x}

y^{^{''}} - 7 y^{^{'}} + 10 y = e^{3 x}

(\partial)/(\partial x)(2*z*cos(x))

\frac{\partial}{\partial x} (2 \cdot z \cdot cos (x))

limit as x approaches 0 of (2ln(x+1))/x

x \to 0 lim (\frac{2 ln ( x + 1 )}{x})

derivative 3e^{-x^2}

d er i v a t i v e 3 e^{- x^{2}}