What is the solution for x(dy)/(dx)=x^{-3}-2y ?

The solution for x(dy)/(dx)=x^{-3}-2y is y=-1/(x^3)+(c_{1})/(x^2)

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x(dy)/(dx)=x^{-3}-2y

x \frac{d y}{d x} = x^{- 3} - 2 y

y = - \frac{1}{x ^{3}} + \frac{c _{1}}{x ^{2}}

Solution steps

x \frac{d y}{d x} = x^{- 3} - 2 y

Solve linear ODE:

y = - \frac{1}{x ^{3}} + \frac{c _{1}}{x ^{2}}

y = - \frac{1}{x ^{3}} + \frac{c _{1}}{x ^{2}}

\int_{1}^{4} \frac{3}{x} d x

\frac{3}{2 s ^{2} + 3 s + 1}

\frac{d y}{d x} = 2 y e^{x + 7}

x \to 1 - lim (3)

\frac{x ^{2}}{x + 1}

What is the solution for x(dy)/(dx)=x^{-3}-2y ?
The solution for x(dy)/(dx)=x^{-3}-2y is y=-1/(x^3)+(c_{1})/(x^2)