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

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

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

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

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

Solution steps

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

Solve separable ODE:

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

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

x \to 0 lim (4 - x)

\frac{d}{d x} (- 2 9 x^{2} + 8)

y = lo g_{5} (x^{4} - 7)

y = x^{3} - 9 x, (1, - 8)

\frac{\partial}{\partial y} (- e^{- x y^{2}} \cdot y^{2})

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