What is the solution for x^2(dy)/(dx)=y-xy,y(-1)=-5 ?

The solution for x^2(dy)/(dx)=y-xy,y(-1)=-5 is y= 5/(ee^{1/x)x}

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x^2(dy)/(dx)=y-xy,y(-1)=-5

x^{2} \frac{d y}{d x} = y - x y, y (- 1) = - 5

y = \frac{5}{e e ^{\frac{1}{x}} x}

Solution steps

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

Solve linear ODE:

y = \frac{5}{e e ^{\frac{1}{x}} x}

y = \frac{5}{e e ^{\frac{1}{x}} x}

\frac{d}{d x} (7 e^{x} - (\frac{10}{x ^{4}}))

f (x) = \frac{2 - \frac{1}{x}}{x - 3}

x \to - 2 - lim (g (x))

x \to 0 lim ((1 + \frac{x}{3})^{\frac{1}{x}})

\int (θ^{4} + sec^{2} (θ)) d θ

What is the solution for x^2(dy)/(dx)=y-xy,y(-1)=-5 ?
The solution for x^2(dy)/(dx)=y-xy,y(-1)=-5 is y= 5/(ee^{1/x)x}