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}}}

\frac{d}{d x} (3 x y + sin (x) + z^{2})

\frac{d}{d x} (- 4 csc^{2} (x) + 4 sec^{2} (x))

\int \frac{3}{5} x^{\frac{1}{3}} d x

\frac{d}{d x} ((a x + b) e^{x})

f (x) = x^{2} - x + 10, at x = 3

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)}}