What is the solution for (dy}{dx}+\frac{3y)/x+2=3x ?

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

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(dy}{dx}+\frac{3y)/x+2=3x

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

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

Solution steps

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

Solve linear ODE:

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

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

12 x^{2} y + y^{^{'}} = 5 x^{2}

f (x) = cos (2 x)

\int (x + 2)^{\frac{1}{2}} d x

\int_{0}^{6} x^{3} d x

n \to \infty lim (n^{- 3})

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