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Beliebt Rechnen >

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

Lösung

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

Lösung

y = - \frac{e ^{x}}{- 1 + c _{1} e ^{x}}

Schritte zur Lösung

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

Solve separable ODE:

y = - \frac{e ^{x}}{- 1 + c _{1} e ^{x}}

y = - \frac{e ^{x}}{- 1 + c _{1} e ^{x}}

Graph

Beliebte Beispiele

integral of x*x^{20}

\int x \cdot x^{20} d x

laplacetransform t^2e^{-2t}

l a pl a ce t r an s f or m t^{2} e^{- 2 t}

limit as x approaches 0 of e^0cos(4)(0)

x \to 0 lim (e^{0} cos (4) (0))

limit as x approaches 3 of 4e^{x-3}

x \to 3 lim (4 e^{x - 3})

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

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