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}}

x \to 4 lim (arctan (\frac{x ^{2} - 16}{7 x ^{2} - 28 x}))

\int \frac{1}{( 2 x + 1 )} d x

\int 2 sin^{4} (x) cos (x) d x

\frac{\partial}{\partial x} (2 x e^{3 x y})

(sin (x) cos (y)) d x + (cos (x) sin (y)) d y = 0

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)