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

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

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

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

y = \frac{1000}{- e ^{- 1000 x - c_{1}} + 1}

Solution steps

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

Solve Bernoulli ODE:

y = \frac{1000}{- e ^{- 1000 x - c_{1}} + 1}

y = \frac{1000}{- e ^{- 1000 x - c_{1}} + 1}

y = 5 e^{- x}, (0, 5)

\frac{2}{( s ^{2} - 3 )} - 3 \frac{s}{( s ^{2} - 3 )}

\int (\frac{20}{1 + x ^{2}}) d x

\frac{8 u ^{2}}{( u ^{2} + u ) ^{3}}

lo g_{2} (3 x - 4)

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