What is the solution for (dy)/(dt)=2y(1-y/2) ?

The solution for (dy)/(dt)=2y(1-y/2) is y= 2/(-e^{-2t-c_{1)}+1}

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(dy)/(dt)=2y(1-y/2)

\frac{d y}{d t} = 2 y (1 - \frac{y}{2})

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

Solution steps

\frac{d y}{d t} = 2 y (1 - \frac{y}{2})

Solve Bernoulli ODE:

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

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

\frac{d}{d x} (\frac{2 - x}{x + 1})

\frac{d y}{d x} = x + y + 1

f (x) = (x + 1)^{3}

(\frac{x ^{2}}{100} + 8 + \frac{20}{x})^{^{'}}

\int_{0}^{20} 2 t d t

What is the solution for (dy)/(dt)=2y(1-y/2) ?
The solution for (dy)/(dt)=2y(1-y/2) is y= 2/(-e^{-2t-c_{1)}+1}