What is the solution for (dy}{dx}+\frac{6y)/x =x ?

The solution for (dy}{dx}+\frac{6y)/x =x is y=(x^2)/8+(c_{1})/(x^6)

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(dy}{dx}+\frac{6y)/x =x

\frac{d y}{d x} + \frac{6 y}{x} = x

y = \frac{x ^{2}}{8} + \frac{c _{1}}{x ^{6}}

Solution steps

\frac{d y}{d x} + \frac{6 y}{x} = x

Solve linear ODE:

y = \frac{x ^{2}}{8} + \frac{c _{1}}{x ^{6}}

y = \frac{x ^{2}}{8} + \frac{c _{1}}{x ^{6}}

What is the solution for (dy}{dx}+\frac{6y)/x =x ?
The solution for (dy}{dx}+\frac{6y)/x =x is y=(x^2)/8+(c_{1})/(x^6)