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Beliebt Rechnen >

e^xy(dy)/(dx)=e^{-y}+e^{-3x-y}

Lösung

e^{x} y \frac{d y}{d x} = e^{- y} + e^{- 3 x - y}

Lösung

y = W (\frac{- \frac{4}{e ^{x}} - \frac{1}{e ^{4 x}} + c _{1}}{4 e}) + 1

Schritte zur Lösung

e^{x} y \frac{d y}{d x} = e^{- y} + e^{- 3 x - y}

Solve separable ODE:

y = W (\frac{- \frac{4}{e ^{x}} - \frac{1}{e ^{4 x}} + c _{1}}{4 e}) + 1

y = W (\frac{- \frac{4}{e ^{x}} - \frac{1}{e ^{4 x}} + c _{1}}{4 e}) + 1

Beliebte Beispiele

y^3-(18x+2)+3xy^2y^'=0

y^{3} - (18 x + 2) + 3 x y^{2} y^{^{'}} = 0

limit as y approaches-2 of (y^3+2)/(y+2)

y \to - 2 lim (\frac{y ^{3} + 2}{y + 2})

wurzeln von a/x

roo t s \frac{a}{x}

(d^2)/(dx^2)(ln(x^2))

\frac{d ^{2}}{d x ^{2}} (ln (x^{2}))

integral from-2 to 0 of (x^2+x)

\int_{- 2}^{0} (x^{2} + x) d x