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}}

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)}