What is the solution for (dy}{dx}+\frac{2y)/x = 9/x ?

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

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(dy}{dx}+\frac{2y)/x = 9/x

\frac{d y}{d x} + \frac{2 y}{x} = \frac{9}{x}

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

Solution steps

\frac{d y}{d x} + \frac{2 y}{x} = \frac{9}{x}

Solve separable ODE:

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

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

\frac{\partial}{\partial x} (x^{2} - x y + y^{2})

\frac{d}{d x} (sin (e^{x^{2}}))

\int_{1}^{e} ln (21 x) d x

x \to - 5 lim (x + 5)

\frac{\partial}{\partial z} (y^{2} z e^{z})

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