(dy)/(dx)=((e^{x-y}))/(1+e^x)

Lösung

\frac{d y}{d x} = \frac{( e ^{x - y} )}{1 + e ^{x}}

y = ln (ln (1 + e^{x}) + c_{1})

Schritte zur Lösung

\frac{d y}{d x} = \frac{( e ^{x - y} )}{1 + e ^{x}}

Solve separable ODE:

y = ln (ln (1 + e^{x}) + c_{1})

y = ln (ln (1 + e^{x}) + c_{1})

\int_{0}^{2} 30000 e^{0.03 x} d x

\int 36 t^{8} e^{- t^{9}} d t

x \to - 1 lim (5 - 11 x)

t an g e n t x^{2} + 5

\frac{d}{d x} (\frac{x ^{3}}{3} + 7 x^{2} + 50 x)