What is the solution for (dy)/(dx)= 1/10 (500y-y^2) ?

The solution for (dy)/(dx)= 1/10 (500y-y^2) is y=-(500e^{50x+50c_{1}})/(1-e^{50(x+c_{1))}}

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(dy)/(dx)= 1/10 (500y-y^2)

\frac{d y}{d x} = \frac{1}{10} (500 y - y^{2})

y = - \frac{500 e ^{50 x + 50 c_{1}}}{1 - e ^{50 (x + c_{1})}}

Solution steps

\frac{d y}{d x} = \frac{1}{10} (500 y - y^{2})

Solve separable ODE:

y = - \frac{500 e ^{50 x + 50 c_{1}}}{1 - e ^{50 (x + c_{1})}}

y = - \frac{500 e ^{50 x + 50 c_{1}}}{1 - e ^{50 (x + c_{1})}}

What is the solution for (dy)/(dx)= 1/10 (500y-y^2) ?
The solution for (dy)/(dx)= 1/10 (500y-y^2) is y=-(500e^{50x+50c_{1}})/(1-e^{50(x+c_{1))}}