What is the solution for (dy)/(dx)+(7/x)y=2x+3 ?

The solution for (dy)/(dx)+(7/x)y=2x+3 is y=(2x^2)/9+(3x)/8+(c_{1})/(x^7)

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(dy)/(dx)+(7/x)y=2x+3

\frac{d y}{d x} + (\frac{7}{x}) y = 2 x + 3

y = \frac{2 x ^{2}}{9} + \frac{3 x}{8} + \frac{c _{1}}{x ^{7}}

Solution steps

\frac{d y}{d x} + (\frac{7}{x}) y = 2 x + 3

Solve linear ODE:

y = \frac{2 x ^{2}}{9} + \frac{3 x}{8} + \frac{c _{1}}{x ^{7}}

y = \frac{2 x ^{2}}{9} + \frac{3 x}{8} + \frac{c _{1}}{x ^{7}}

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

f (x) = \frac{x}{1 + x ^{2}}, 0.4, at x = 2

x \to 0 lim (1^{\frac{1}{x}})

\frac{\partial}{\partial x} (x cos (y) + y e^{x})

e^{\frac{2}{3}}

What is the solution for (dy)/(dx)+(7/x)y=2x+3 ?
The solution for (dy)/(dx)+(7/x)y=2x+3 is y=(2x^2)/9+(3x)/8+(c_{1})/(x^7)