What is the solution for (dy)/(dx)=0.0019y(1000-y) ?

The solution for (dy)/(dx)=0.0019y(1000-y) is y=(1.9)/(-e^{-1.89999…x-c_{1)}+0.0019}

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(dy)/(dx)=0.0019y(1000-y)

\frac{d y}{d x} = 0.0019 y (1000 - y)

y = \frac{1.9}{- e ^{- 1.89999 \dots x - c_{1}} + 0.0019}

Solution steps

\frac{d y}{d x} = 0.0019 y (1000 - y)

Solve Bernoulli ODE:

y = \frac{1.9}{- e ^{- 1.89999 \dots x - c_{1}} + 0.0019}

y = \frac{1.9}{- e ^{- 1.89999 \dots x - c_{1}} + 0.0019}

y^{\frac{1}{2}} \frac{d y}{d x} + y^{\frac{3}{2}} = 1, y (0) = 4

y = x^{2} - 8 x

\int \frac{5 + 7 x}{1 + x ^{2}} d x

\frac{d}{d x} (4 + 3 x^{2})

\int (x - 8)^{2} d x

What is the solution for (dy)/(dx)=0.0019y(1000-y) ?
The solution for (dy)/(dx)=0.0019y(1000-y) is y=(1.9)/(-e^{-1.89999…x-c_{1)}+0.0019}