What is the solution for (dy)/(dx)+(5/x)y=-3x-4 ?

The solution for (dy)/(dx)+(5/x)y=-3x-4 is y=-(3x^2)/7-(2x)/3+(c_{1})/(x^5)

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(dy)/(dx)+(5/x)y=-3x-4

\frac{d y}{d x} + (\frac{5}{x}) y = - 3 x - 4

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

Solution steps

\frac{d y}{d x} + (\frac{5}{x}) y = - 3 x - 4

Solve linear ODE:

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

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

What is the solution for (dy)/(dx)+(5/x)y=-3x-4 ?
The solution for (dy)/(dx)+(5/x)y=-3x-4 is y=-(3x^2)/7-(2x)/3+(c_{1})/(x^5)