What is the solution for (dy)/(dx)=y-y^3 ?

The solution for (dy)/(dx)=y-y^3 is y=sqrt(1/(-e^{-2x-c_{1))+1}},y=-sqrt(1/(-e^{-2x-c_{1))+1}}

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(dy)/(dx)=y-y^3

\frac{d y}{d x} = y - y^{3}

y = \frac{1}{- e ^{- 2 x - c_{1}} + 1}, y = - \frac{1}{- e ^{- 2 x - c_{1}} + 1}

Solution steps

\frac{d y}{d x} = y - y^{3}

Solve Bernoulli ODE:

y = \frac{1}{- e ^{- 2 x - c_{1}} + 1}, y = - \frac{1}{- e ^{- 2 x - c_{1}} + 1}

y = \frac{1}{- e ^{- 2 x - c_{1}} + 1}, y = - \frac{1}{- e ^{- 2 x - c_{1}} + 1}

(0, - 2), (- 2, - 2)

x \to 0 lim (2 cos (2 x))

x \to 4 - lim (\frac{6}{x - 4})

x^{2} + 7

\frac{d}{d x} (cos (x) cot (x))

What is the solution for (dy)/(dx)=y-y^3 ?
The solution for (dy)/(dx)=y-y^3 is y=sqrt(1/(-e^{-2x-c_{1))+1}},y=-sqrt(1/(-e^{-2x-c_{1))+1}}