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}}

f (x) = e^{- x} - e^{- x} x

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

\frac{s + 1}{s ( s - 1 ) ^{2}}

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

(t^{2} - 1) y^{^{'}} + 2 t y^{2} = 0

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}