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

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

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

x^{2} \cdot \frac{d y}{d x} = y - x y

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

Solution steps

x^{2} \cdot \frac{d y}{d x} = y - x y

Solve separable ODE:

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

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

\int (x^{2} y) d y

y^{^{''}} + 4 y = x e^{x}

y^{^{''}} - 0.2 y^{^{'}} + 0.01 y = 0, y (0) = 14, y^{^{'}} (0) = b

\frac{d}{d x} (\frac{2 x ^{5} - 3 x ^{4} - 7 x ^{3}}{x ^{4}})

\int sin (3 θ) cos (5 θ) d θ

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