What is the solution for (dy)/(dx)+(7/x)y=x+7 ?

The solution for (dy)/(dx)+(7/x)y=x+7 is y=(x^2)/9+(7x)/8+(c_{1})/(x^7)

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(dy)/(dx)+(7/x)y=x+7

\frac{d y}{d x} + (\frac{7}{x}) y = x + 7

y = \frac{x ^{2}}{9} + \frac{7 x}{8} + \frac{c _{1}}{x ^{7}}

Solution steps

\frac{d y}{d x} + (\frac{7}{x}) y = x + 7

Solve linear ODE:

y = \frac{x ^{2}}{9} + \frac{7 x}{8} + \frac{c _{1}}{x ^{7}}

y = \frac{x ^{2}}{9} + \frac{7 x}{8} + \frac{c _{1}}{x ^{7}}

arccos (e^{3 x})

\int_{0}^{\frac{π}{4}} tan^{2} (x) d x

n = 1 \sum \infty \frac{1}{5 ^{n + 3}}

\int \frac{3 x ^{2}}{125} d x

sin (cos (tan (x)))

What is the solution for (dy)/(dx)+(7/x)y=x+7 ?
The solution for (dy)/(dx)+(7/x)y=x+7 is y=(x^2)/9+(7x)/8+(c_{1})/(x^7)