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}}

f (t) = \frac{t ^{2} - 4}{t - 2}

\frac{6}{x ^{2}}

\int 3 x (3 x^{2} + 7) d x

f (x) = 3 x^{4} + 2 e^{x}, at x = 0

\frac{( s + 3 )}{s ^{2} + s + 3}

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)}