What is the solution for x^2(dy)/(dx)=y-xy,y(-1)=-6 ?

The solution for x^2(dy)/(dx)=y-xy,y(-1)=-6 is y= 6/(ee^{1/x)x}

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x^2(dy)/(dx)=y-xy,y(-1)=-6

x^{2} \frac{d y}{d x} = y - x y, y (- 1) = - 6

y = \frac{6}{e e ^{\frac{1}{x}} x}

Solution steps

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

Solve linear ODE:

y = \frac{6}{e e ^{\frac{1}{x}} x}

y = \frac{6}{e e ^{\frac{1}{x}} x}

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What is the solution for x^2(dy)/(dx)=y-xy,y(-1)=-6 ?
The solution for x^2(dy)/(dx)=y-xy,y(-1)=-6 is y= 6/(ee^{1/x)x}