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

The solution for x^2(dy)/(dx)=y-xy,y(-1)=-2 is y= 2/(ee^{1/x)x}

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

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

y = \frac{2}{e e ^{\frac{1}{x}} x}

Solution steps

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

Solve linear ODE:

y = \frac{2}{e e ^{\frac{1}{x}} x}

y = \frac{2}{e e ^{\frac{1}{x}} x}

f (x) = ln (x^{3} + 10)

\int x^{\frac{7}{5}} d x

\int \frac{x ^{3}}{49 + x ^{2}} d x

f (x) = arcsec (6 x)

\int \frac{3}{1 - 2 x} d x

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