What is the solution for (dy)/(dx)=0.0013y(2500-y) ?

The solution for (dy)/(dx)=0.0013y(2500-y) is y=(3.25)/(-e^{-3.25x-c_{1)}+0.0013}

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(dy)/(dx)=0.0013y(2500-y)

\frac{d y}{d x} = 0.0013 y (2500 - y)

y = \frac{3.25}{- e ^{- 3.25 x - c_{1}} + 0.0013}

Solution steps

\frac{d y}{d x} = 0.0013 y (2500 - y)

Solve Bernoulli ODE:

y = \frac{3.25}{- e ^{- 3.25 x - c_{1}} + 0.0013}

y = \frac{3.25}{- e ^{- 3.25 x - c_{1}} + 0.0013}

\frac{d y}{d t} = 100 - y

\int_{0}^{3} 9

\int x (15 x + 8) d x

\frac{\partial}{\partial x} (\frac{3}{x y ^{2}})

arctan (s) + 1

What is the solution for (dy)/(dx)=0.0013y(2500-y) ?
The solution for (dy)/(dx)=0.0013y(2500-y) is y=(3.25)/(-e^{-3.25x-c_{1)}+0.0013}