What is the solution for (dy)/(dt)=y-y^2 ?

The solution for (dy)/(dt)=y-y^2 is y=-(e^{t+c_{1}})/(1-e^{t+c_{1)}}

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(dy)/(dt)=y-y^2

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

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

Solution steps

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

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-y^2 ?
The solution for (dy)/(dt)=y-y^2 is y=-(e^{t+c_{1}})/(1-e^{t+c_{1)}}