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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Beliebte Beispiele

6y^{''}+y^'-2y=0

6 y^{^{''}} + y^{^{'}} - 2 y = 0

derivative g(x)=5tan(3x)

d er i v a t i v e g (x) = 5 tan (3 x)

integral of xsin^2(8x)

\int x sin^{2} (8 x) d x

integral of 3e^xsin(x)

\int 3 e^{x} sin (x) d x

limit as x approaches 0 of (3^{sin(x)}-1)/(4x)

x \to 0 lim (\frac{3 ^{s i n (x)} - 1}{4 x})