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Beliebt Rechnen >

x*y^'=(1-y^2)^{1/2}

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

(dy)/(dx)=(1-13x)y^2

\frac{d y}{d x} = (1 - 13 x) y^{2}

(dr)/(ds)=0.09r

\frac{d r}{d s} = 0.09 r

(1+e^x)(dy}{dx}=\frac{e^x)/y

(1 + e^{x}) \frac{d y}{d x} = \frac{e ^{x}}{y}

y^'=((2-e^x)/(3+2y))

y^{^{'}} = (\frac{2 - e ^{x}}{3 + 2 y})

6x-8ysqrt(x^2+1)y^'=0

6 x - 8 y x^{2} + 1 y^{^{'}} = 0