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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

y^{'} (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})

Graph

Beliebte Beispiele

integral of (24)/(x^2)

\int \frac{24}{x ^{2}} d x

(\frac{x - 1}{x})^{^{'}}

derivative of 2xcos(x-x^2sin(x))

\frac{d}{d x} (2 x cos (x) - x^{2} sin (x))

derivative of log_{6}(5x+1)

\frac{d}{d x} (lo g_{6} (5 x + 1))

integral from 0 to 1-|x-1| of 1

\int_{0}^{1 - ∣ x - 1 ∣} 1 d y