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

The solution for x^2(dy)/(dx)=y-xy,y(-1)=-4 is y= 4/(ee^{1/x)x}

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

x^{2} \frac{d y}{d x} = y - x y, y (- 1) = - 4

y = \frac{4}{e e ^{\frac{1}{x}} x}

Solution steps

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

Solve linear ODE:

y = \frac{4}{e e ^{\frac{1}{x}} x}

y = \frac{4}{e e ^{\frac{1}{x}} x}

\frac{π}{( 2 x ) ^{5}}

2 sin (x) cos (x)

2 x^{2} - 1

v = 60 (1 - e^{- 0.2 t})

x \to 1 - lim (ln (x - 1))

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