What is the solution for (dy)/(dx)+(7/x)y=x+2 ?

The solution for (dy)/(dx)+(7/x)y=x+2 is y=(x^2)/9+x/4+(c_{1})/(x^7)

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(dy)/(dx)+(7/x)y=x+2

\frac{d y}{d x} + (\frac{7}{x}) y = x + 2

y = \frac{x ^{2}}{9} + \frac{x}{4} + \frac{c _{1}}{x ^{7}}

Solution steps

\frac{d y}{d x} + (\frac{7}{x}) y = x + 2

Solve linear ODE:

y = \frac{x ^{2}}{9} + \frac{x}{4} + \frac{c _{1}}{x ^{7}}

y = \frac{x ^{2}}{9} + \frac{x}{4} + \frac{c _{1}}{x ^{7}}

\int_{- 2}^{3} \frac{1}{1 + 9 t ^{2}} d t

x^{2} - 2 (- 4.14)

\int - sin (x) d x

x = 4 y - y^{2}, x = y^{2} - 7 y

What is the solution for (dy)/(dx)+(7/x)y=x+2 ?
The solution for (dy)/(dx)+(7/x)y=x+2 is y=(x^2)/9+x/4+(c_{1})/(x^7)