What is the solution for y^'=y(1-y/(2000)) ?

The solution for y^'=y(1-y/(2000)) is y=-(2000e^{t+c_{1}})/(1-e^{t+c_{1)}}

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y^'=y(1-y/(2000))

y^{^{'}} = y (1 - \frac{y}{2000})

y = - \frac{2000 e ^{t + c_{1}}}{1 - e ^{t + c_{1}}}

Solution steps

y^{'} (t) = y (1 - \frac{y}{2000})

Solve separable ODE:

y = - \frac{2000 e ^{t + c_{1}}}{1 - e ^{t + c_{1}}}

y = - \frac{2000 e ^{t + c_{1}}}{1 - e ^{t + c_{1}}}

\frac{d x}{d t} = 12 - \frac{36 x}{100}

\frac{d y}{d t} = - \frac{1}{50} (y - 17)

\frac{d}{d t} (45440 x) = - 28920 x

\frac{d y}{d x} = - \frac{3}{8} x^{3} y^{7}

\frac{d y}{d x} = - x^{2} y

What is the solution for y^'=y(1-y/(2000)) ?
The solution for y^'=y(1-y/(2000)) is y=-(2000e^{t+c_{1}})/(1-e^{t+c_{1)}}