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Beliebt Rechnen >

9x^2(dy)/(dx)=(dy)/(dx)+2xe^{-y}

Lösung

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

Lösung

y = ln (\frac{1}{9} ln (9 x^{2} - 1) + c_{1})

Schritte zur Lösung

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

Solve separable ODE:

y = ln (\frac{1}{9} ln (9 x^{2} - 1) + c_{1})

y = ln (\frac{1}{9} ln (9 x^{2} - 1) + c_{1})

Graph

Beliebte Beispiele

laplacetransform t^4

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(\partial)/(\partial x)(ln(x/y+y/x))

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derivative of ln(sin(7x))

\frac{d}{d x} (ln (sin (7 x)))

derivative of-x^2-2x+3

\frac{d}{d x} (- x^{2} - 2 x + 3)

(dy)/(dx)=(y+1)^{-1}

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