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

Lösung

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

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

Schritte zur Lösung

e^{x} y \frac{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

l a pl a ce t r an s f or m 3 sin (2 t)

\int - 2 x^{- 4} d x

d er i v a t i v e f (x) = (\frac{5 ^{3 x^{7}}}{8 x ^{2}})^{4}

\int \frac{x - 3}{x ^{2} - 12 x + 36} d x

n = 1 \sum \infty \frac{n}{n + 3}