e^xy(dy)/(dx)=e^{-y}+e^{-4x-y}

Lösung

e^{x} y \frac{d y}{d x} = e^{- y} + e^{- 4 x - y}

y = W (\frac{- \frac{5}{e ^{x}} - \frac{1}{e ^{5 x}} + c _{1}}{5 e}) + 1

Schritte zur Lösung

e^{x} y \frac{d y}{d x} = e^{- y} + e^{- 4 x - y}

Solve separable ODE:

y = W (\frac{- \frac{5}{e ^{x}} - \frac{1}{e ^{5 x}} + c _{1}}{5 e}) + 1

y = W (\frac{- \frac{5}{e ^{x}} - \frac{1}{e ^{5 x}} + c _{1}}{5 e}) + 1

t an g e n t f (x) = \frac{2}{3 x ^{\frac{2}{3}}}, at x = 64

\frac{\partial}{\partial x} (64 - 8 x^{2} - y^{2})

x \to 1 + lim (\frac{1 - x}{x ( x - 1 )})

\frac{d}{d x} (cos^{2} (3 π x))

\int sec (x) \frac{1}{x} d x