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

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

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

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

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

Solution steps

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

Solve separable ODE:

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

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

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