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

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

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

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

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

Solution steps

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

Solve linear ODE:

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

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

ln (x), at 1

\frac{d}{d x} ((4 x + 1) (1 - x)^{3})

\int \frac{x x}{x ^{2}} d x

x \to \infty lim (\frac{π}{3})

\int \frac{1}{( x ^{2} + x + 1 ) ^{2}} d x

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