What is the solution for (dy}{dx}+\frac{3y)/x =-1/x ?

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

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(dy}{dx}+\frac{3y)/x =-1/x

\frac{d y}{d x} + \frac{3 y}{x} = - \frac{1}{x}

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

Solution steps

\frac{d y}{d x} + \frac{3 y}{x} = - \frac{1}{x}

Solve separable ODE:

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

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

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