What is the solution for (dy)/(dx)=y(10-y) ?

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

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(dy)/(dx)=y(10-y)

\frac{d y}{d x} = y (10 - y)

y = \frac{10}{- e ^{- 10 x - c_{1}} + 1}

Solution steps

\frac{d y}{d x} = y (10 - y)

Solve Bernoulli ODE:

y = \frac{10}{- e ^{- 10 x - c_{1}} + 1}

y = \frac{10}{- e ^{- 10 x - c_{1}} + 1}

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