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

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

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

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

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

Solution steps

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

Solve separable ODE:

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

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

\int (e^{1 - x} + \frac{1}{x ^{2022}}) x d x

\frac{d}{d x} (20 cos (x))

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

- 6 x, at x = 4

\int y sin (x) y d x

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