What is the solution for (dy)/(dx)+(5/x)y=-2x-2 ?

The solution for (dy)/(dx)+(5/x)y=-2x-2 is y=-(2x^2)/7-x/3+(c_{1})/(x^5)

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(dy)/(dx)+(5/x)y=-2x-2

\frac{d y}{d x} + (\frac{5}{x}) y = - 2 x - 2

y = - \frac{2 x ^{2}}{7} - \frac{x}{3} + \frac{c _{1}}{x ^{5}}

Solution steps

\frac{d y}{d x} + (\frac{5}{x}) y = - 2 x - 2

Solve linear ODE:

y = - \frac{2 x ^{2}}{7} - \frac{x}{3} + \frac{c _{1}}{x ^{5}}

y = - \frac{2 x ^{2}}{7} - \frac{x}{3} + \frac{c _{1}}{x ^{5}}

\int_{0}^{1} 10 cos (x^{2}) d x

\int (x + 3) (x - 5) d x

\int_{2}^{6} \frac{1}{3 x - 2} d x

\frac{d}{d t} (2 cos (t) + 2 sin (t))

F (x) = (9 x^{6} + 4 x^{3})^{4}

What is the solution for (dy)/(dx)+(5/x)y=-2x-2 ?
The solution for (dy)/(dx)+(5/x)y=-2x-2 is y=-(2x^2)/7-x/3+(c_{1})/(x^5)