What is the solution for (dy)/(dx)=2y-7y^3 ?

The solution for (dy)/(dx)=2y-7y^3 is y=sqrt(2/(-e^{-4x-c_{1))+7}},y=-sqrt(2/(-e^{-4x-c_{1))+7}}

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(dy)/(dx)=2y-7y^3

\frac{d y}{d x} = 2 y - 7 y^{3}

y = \frac{2}{- e ^{- 4 x - c_{1}} + 7}, y = - \frac{2}{- e ^{- 4 x - c_{1}} + 7}

Solution steps

\frac{d y}{d x} = 2 y - 7 y^{3}

Solve Bernoulli ODE:

y = \frac{2}{- e ^{- 4 x - c_{1}} + 7}, y = - \frac{2}{- e ^{- 4 x - c_{1}} + 7}

y = \frac{2}{- e ^{- 4 x - c_{1}} + 7}, y = - \frac{2}{- e ^{- 4 x - c_{1}} + 7}

\frac{d}{d x} ((x)^{5 x})

\int \frac{x ^{3} + x + 4}{x ^{2}} d x

\frac{d}{d y} (arctan (\frac{x}{y}))

\frac{d}{d x} (arctan (x^{4}))

What is the solution for (dy)/(dx)=2y-7y^3 ?
The solution for (dy)/(dx)=2y-7y^3 is y=sqrt(2/(-e^{-4x-c_{1))+7}},y=-sqrt(2/(-e^{-4x-c_{1))+7}}