What is the solution for (dy)/(dx)+3/x y=2x+5 ?

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

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(dy)/(dx)+3/x y=2x+5

\frac{d y}{d x} + \frac{3}{x} y = 2 x + 5

y = \frac{2 x ^{2}}{5} + \frac{5 x}{4} + \frac{c _{1}}{x ^{3}}

Solution steps

\frac{d y}{d x} + \frac{3}{x} y = 2 x + 5

Solve linear ODE:

y = \frac{2 x ^{2}}{5} + \frac{5 x}{4} + \frac{c _{1}}{x ^{3}}

y = \frac{2 x ^{2}}{5} + \frac{5 x}{4} + \frac{c _{1}}{x ^{3}}

\frac{x}{( x + 2 ) ( x ^{2} + 4 )}

\int \frac{ln ( x )}{x ^{5}} d x

\int_{0}^{4} x^{2} (4 - x)^{3} d x

x \to 1 lim (\frac{1}{x ( 1 - x ) ^{2}})

\frac{d}{d x} (10 (20 x - x^{\frac{3}{2}}))

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