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

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

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x(dy)/(dx)+xy^2=xy

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

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

Solution steps

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

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}}}

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