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

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

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

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

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

Solution steps

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

Solve separable ODE:

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

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

What is the solution for (dy)/(y-y^2)=dx ?
The solution for (dy)/(y-y^2)=dx is y=-(e^{x+c_{1}})/(1-e^{x+c_{1)}}