Question

Random....

Answer 1

\(\large\color{black}{ \displaystyle y'+\frac{1}{x}y={\rm W} }\) (W is a constant)

Of course, it is a linear equation.
Integrating factor: \(\large\color{black}{ \displaystyle e^{{\rm H}(x)}= e^{\ln(x)}=x}\)

multiplying times this integrating factor:
\(\large\color{black}{ \displaystyle y'x+y={\rm W}x }\)

\(\large\color{black}{ \displaystyle y'x+y\Longrightarrow \frac{dy}{dx}\left[yx \right] }\)

\(\large\color{black}{ \displaystyle \frac{dy}{dx}\left[yx \right]={\rm W}x }\)

\(\large\color{black}{ \displaystyle y=({\rm W}/2)x+C/x }\)

Answer 2

nvm

Answer 3

Haha, had me interested, is this suppose to be a differential equation? :P

Answer 4

Was like dah... jk
It was random.... (wouldn't envoke a series solution here)