What is the solution for (x^2dy)/(dx)=y-xy,y[-1]=-4 ?

The solution for (x^2dy)/(dx)=y-xy,y[-1]=-4 is y=(e^{(-1+c_{1}x)/x})/(x)

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(x^2dy)/(dx)=y-xy,y[-1]=-4

\frac{x ^{2} d y}{d x} = y - x y, y [- 1] = - 4

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

Solution steps

\frac{x ^{2} 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}

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What is the solution for (x^2dy)/(dx)=y-xy,y[-1]=-4 ?
The solution for (x^2dy)/(dx)=y-xy,y[-1]=-4 is y=(e^{(-1+c_{1}x)/x})/(x)