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Beliebt Rechnen >

(dy)/(dx)=(-x)/(ye^{x^2)}

Lösung

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

Lösung

y = e^{- x^{2}} + c_{1}, y = - e^{- x^{2}} + c_{1}

Schritte zur Lösung

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

Solve separable ODE:

y = e^{- x^{2}} + c_{1}, y = - e^{- x^{2}} + c_{1}

y = e^{- x^{2}} + c_{1}, y = - e^{- x^{2}} + c_{1}

Graph

Beliebte Beispiele

y(dy)/(dx)=((9x^3-1))/((7+y^2))

y \frac{d y}{d x} = \frac{( 9 x ^{3} - 1 )}{( 7 + y ^{2} )}

(dy)/(dx)=((y^2)/(e^x)),y(0)=(1/2)

\frac{d y}{d x} = (\frac{y ^{2}}{e ^{x}}), y (0) = (\frac{1}{2})

2xy^2+x^22y(dy)/(dx)=0

2 x y^{2} + x^{2} 2 y \frac{d y}{d x} = 0

y^'=e^{x-y},y(0)=ln(7)

y^{^{'}} = e^{x - y}, y (0) = ln (7)

(dy)/(dx)+x^2y=5x^2

\frac{d y}{d x} + x^{2} y = 5 x^{2}