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

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

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

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

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

Solution steps

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

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}}}

f (x) = - x^{3}, (1, - 1)

x^{2} - 5 x + 5

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