What is the solution for (dy)/(dx)=0.0016y(2400-y) ?

The solution for (dy)/(dx)=0.0016y(2400-y) is y=(3.84)/(-e^{-3.83999…x-c_{1)}+0.0016}

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(dy)/(dx)=0.0016y(2400-y)

\frac{d y}{d x} = 0.0016 y (2400 - y)

y = \frac{3.84}{- e ^{- 3.83999 \dots x - c_{1}} + 0.0016}

Solution steps

\frac{d y}{d x} = 0.0016 y (2400 - y)

Solve Bernoulli ODE:

y = \frac{3.84}{- e ^{- 3.83999 \dots x - c_{1}} + 0.0016}

y = \frac{3.84}{- e ^{- 3.83999 \dots x - c_{1}} + 0.0016}

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What is the solution for (dy)/(dx)=0.0016y(2400-y) ?
The solution for (dy)/(dx)=0.0016y(2400-y) is y=(3.84)/(-e^{-3.83999…x-c_{1)}+0.0016}