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

The solution for (dy)/(dx)+(5/x)y=-x+5 is y=-(x^2)/7+(5x)/6+(c_{1})/(x^5)

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

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

y = - \frac{x ^{2}}{7} + \frac{5 x}{6} + \frac{c _{1}}{x ^{5}}

Solution steps

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

Solve linear ODE:

y = - \frac{x ^{2}}{7} + \frac{5 x}{6} + \frac{c _{1}}{x ^{5}}

y = - \frac{x ^{2}}{7} + \frac{5 x}{6} + \frac{c _{1}}{x ^{5}}

\frac{x}{( 2 x + 3 )}

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y^{^{''}} - 0.02 y = 0, y^{^{'}} (0) = 2, y (0) = 0

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What is the solution for (dy)/(dx)+(5/x)y=-x+5 ?
The solution for (dy)/(dx)+(5/x)y=-x+5 is y=-(x^2)/7+(5x)/6+(c_{1})/(x^5)