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

Lösung

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

y = - e^{- x - c_{1}} - e^{- c_{1}} + 1

Schritte zur Lösung

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

Solve separable ODE:

y = - e^{- x - c_{1}} - e^{- c_{1}} + 1

y = - e^{- x - c_{1}} - e^{- c_{1}} + 1

d er i v a t i v e \frac{1}{2 x + 3}

x \to - 3 lim (x - 2)

\int_{1}^{2} \frac{1}{( x - 1 ) ^{2}} d x

t an g e n t y = 8 + 4 x^{2} - 2 x^{3}

d er i v a t i v e 6 (2 e^{x^{2}} x^{2} + e^{x^{2}})