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

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

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

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

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

Solution steps

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

Solve Bernoulli ODE:

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

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

\frac{s + 7}{( s + 2 ) ( s - 5 )}

y = \frac{e ^{x}}{ln ( x )}

f (x) = (8 x^{3} + 2 x^{2})^{4}

\frac{d}{d x} ((1 + 9 x^{2}) (x - x^{2}))

\frac{d}{d x} (arctan (arcsin (x)))

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