(dy)/(dx)=((e^{x-y}))/(1+e^x),y(1)=0

Lösung

\frac{d y}{d x} = \frac{( e ^{x - y} )}{1 + e ^{x}}, y (1) = 0

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

\int \frac{7 sin ^{3} ( x )}{cos ( x )} d x

h \to o lim (\frac{( 5 + h ) - ( 5 )}{h})

\int \frac{1}{x \cdot ( 1 + ln ^{2} ( x ) )} d x

\int \frac{sec ^{4} ( x ) tan ( x )}{243} d x

\frac{d}{d x} (sin^{2} (a x))