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Beliebt Rechnen >

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

Lösung

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

Lösung

y = W (\frac{2 x - e ^{- 2 x} + c _{1}}{2 e ^{3}}) + 1

Schritte zur Lösung

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

Solve separable ODE:

y = W (\frac{2 x - e ^{- 2 x} + c _{1}}{2 e ^{3}}) + 1

y = W (\frac{2 x - e ^{- 2 x} + c _{1}}{2 e ^{3}}) + 1

Beliebte Beispiele

derivative of ln(cos(sin(e^{x^3})))

\frac{d}{d x} (ln (cos (sin (e^{x^{3}}))))

y^{''''}+13y^{''}+36y=0

y^{^{''''}} + 13 y^{^{''}} + 36 y = 0

fläche y=2x+24,y=x^2

a re a y = 2 x + 24, y = x^{2}

y^{''}+3/x y^'-(15)/(x^2)y=0

y^{^{''}} + \frac{3}{x} y^{^{'}} - \frac{15}{x ^{2}} y = 0

integral of (sqrt(x+1))/(x-3)

\int \frac{x + 1}{x - 3} d x