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

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

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

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

y = - \frac{cos ( x )}{x ^{2}} + \frac{c _{1}}{x ^{2}}

Solution steps

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

Solve linear ODE:

y = - \frac{cos ( x )}{x ^{2}} + \frac{c _{1}}{x ^{2}}

y = - \frac{cos ( x )}{x ^{2}} + \frac{c _{1}}{x ^{2}}

t e^{- t}

\frac{d}{d x} (e^{- 2 x} - 3 y)

\frac{d}{d x} (\frac{2 x - 1}{x + 2})

y^{^{'}} = e^{8 x} - 6 x

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