What is the solution for (dy)/(dx)= 1/10*y*(500-y) ?

The solution for (dy)/(dx)= 1/10*y*(500-y) is y=(50)/(e^{-50x-c_{1)}-1}

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(dy)/(dx)= 1/10y(500-y)

\frac{d y}{d x} = \frac{1}{10} \cdot y \cdot (500 - y)

y = \frac{50}{e ^{- 50 x - c_{1}} - 1}

Solution steps

\frac{d y}{d x} = \frac{1}{10} \cdot y \cdot (500 - y)

Solve Bernoulli ODE:

y = \frac{50}{e ^{- 50 x - c_{1}} - 1}

y = \frac{50}{e ^{- 50 x - c_{1}} - 1}

\frac{d}{d x} (sin^{2} (x + 5))

\frac{d}{d x} ((e^{3})^{x - 1})

\frac{d}{d x} (5 x^{8})

\int \frac{( 1 - t cos ( t ) )}{t} d t

\frac{5}{s + 1}

What is the solution for (dy)/(dx)= 1/10*y*(500-y) ?
The solution for (dy)/(dx)= 1/10*y*(500-y) is y=(50)/(e^{-50x-c_{1)}-1}