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

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

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

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

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

Solution steps

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

Solve separable ODE:

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

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

\int t (t - 2) d t

t^{2} e^{4 t}

\frac{\partial}{\partial y} (x^{2} ln (y))

(1 + x^{16}) y^{^{'}} + 16 x^{15} y = 9 x^{13}

\frac{d}{d x} (e^{x} cos (2 x) + e^{x} sin (2 x))

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