What is the solution for (dy)/(dx)=6y(10-y) ?

The solution for (dy)/(dx)=6y(10-y) is y=(10)/(e^{-60x+c_{1)}+1}

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(dy)/(dx)=6y(10-y)

\frac{d y}{d x} = 6 y (10 - y)

y = \frac{10}{e ^{- 60 x + c_{1}} + 1}

Solution steps

\frac{d y}{d x} = 6 y (10 - y)

Solve Bernoulli ODE:

y = \frac{10}{e ^{- 60 x + c_{1}} + 1}

y = \frac{10}{e ^{- 60 x + c_{1}} + 1}

\frac{d y}{d x} = \frac{1}{8} y cos^{2} (y)

\int \frac{1 + x + x}{x} d x

\frac{x ^{2}}{x + 1}

\int (e^{y x} + y e^{y x} x + 2 y - \frac{1}{x ^{2}}) d y

\frac{d}{d x} (x (1 - x)^{6})

What is the solution for (dy)/(dx)=6y(10-y) ?
The solution for (dy)/(dx)=6y(10-y) is y=(10)/(e^{-60x+c_{1)}+1}