What is the solution for (dy)/(dt)=y(1-y) ?

The solution for (dy)/(dt)=y(1-y) is y=-(e^{t+c_{1}})/(1-e^{t+c_{1)}}

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(dy)/(dt)=y(1-y)

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

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

Solution steps

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

Solve separable ODE:

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

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

\frac{d}{d t} (2 t)

\int_{1}^{3} 4 x^{4} ln (x) d x

\frac{d}{d x} (x - 2 x)

\int (\frac{1}{x} - \frac{4}{9 x ^{2} + 1}) d x

f (x) = \frac{3}{2 x + 1}, at x = 4

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