What is the solution for (dy)/(dx)=0.001y(100-y) ?

The solution for (dy)/(dx)=0.001y(100-y) is y=(100)/(-1000e^{\frac{-c_{1)-x}{10}}+1}

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(dy)/(dx)=0.001y(100-y)

\frac{d y}{d x} = 0.001 y (100 - y)

y = \frac{100}{- 1000 e ^{\frac{- c _{1} - x}{10}} + 1}

Solution steps

\frac{d y}{d x} = 0.001 y (100 - y)

Solve Bernoulli ODE:

y = \frac{100}{- 1000 e ^{\frac{- c _{1} - x}{10}} + 1}

y = \frac{100}{- 1000 e ^{\frac{- c _{1} - x}{10}} + 1}

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

- x^{2} + 1.907, 0, 0.266

ln (\frac{x + 1}{x - 1})

\int cos^{4} (7 x + 6) d x

\int \frac{1}{( 4 x - x ^{2} )} d x

What is the solution for (dy)/(dx)=0.001y(100-y) ?
The solution for (dy)/(dx)=0.001y(100-y) is y=(100)/(-1000e^{\frac{-c_{1)-x}{10}}+1}