What is the solution for (dy)/(dt)=0.04y(400-y) ?

The solution for (dy)/(dt)=0.04y(400-y) is y=(16)/(-e^{\frac{-c_{1)-t}{0.0625}}+0.04}

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(dy)/(dt)=0.04y(400-y)

\frac{d y}{d t} = 0.04 y (400 - y)

y = \frac{16}{- e ^{\frac{- c _{1} - t}{0.0625}} + 0.04}

Solution steps

\frac{d y}{d t} = 0.04 y (400 - y)

Solve Bernoulli ODE:

y = \frac{16}{- e ^{\frac{- c _{1} - t}{0.0625}} + 0.04}

y = \frac{16}{- e ^{\frac{- c _{1} - t}{0.0625}} + 0.04}

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What is the solution for (dy)/(dt)=0.04y(400-y) ?
The solution for (dy)/(dt)=0.04y(400-y) is y=(16)/(-e^{\frac{-c_{1)-t}{0.0625}}+0.04}