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

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

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x((dy)/(dx))-(1+x)y=xy^2

x (\frac{d y}{d x}) - (1 + x) y = x y^{2}

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

Solution steps

x (\frac{d y}{d x}) - (1 + x) y = x y^{2}

Solve Bernoulli ODE:

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

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

3 e^{7}

\frac{d}{d x} (\frac{1 - 5 x}{1 + 5 x})

\frac{\partial}{\partial y} (- 2 y e^{x^{2} - y^{2}})

\int (1 + \frac{9 x}{8}) d x

x y^{^{'}} + y = - 2 x y^{2}, y (1) = - 2

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