de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

e^xyy^'=e^{-y}+e^{-2x-y}

Lösung

e^{x} y y^{^{'}} = 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} y y^{'} (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

derivative (2x)^x

d er i v a t i v e (2 x)^{x}

integral of 2/(16+3x^2)

\int \frac{2}{16 + 3 x ^{2}} d x

derivative regardsp I/(2p)

d er i v a t i v e re g a r d s p \frac{I}{2 p}

integral of 1/(4(1-x)^2)

\int \frac{1}{4 ( 1 - x ) ^{2}} d x

(d^2y)/(dx^2)=4x

\frac{d ^{2} y}{d x ^{2}} = 4 x