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= x/(-x-1+c_{1)e^x}

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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}{- x - 1 + c _{1} e ^{x}}

Solution steps

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

Solve Bernoulli ODE:

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

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

\int \frac{8}{x - 1} d x

\int \frac{10}{x + 1} d x

\frac{\partial}{\partial x} (\frac{5 x - y}{y ^{2} + 3 x ^{2}})

y = (x^{3} + 1)^{- 1}, x = 0, x = 1

\int x^{2} + 4 x + 4 d x

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= x/(-x-1+c_{1)e^x}