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}}}

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)}}