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

The solution for (dy)/(dx)=b*(1-y)*y is y=-(e^{bx+c_{1}})/(1-e^{bx+c_{1)}}

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

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

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

Solution steps

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

Solve separable ODE:

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

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

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