I am a first time differential equations student so I will try my best.
By observation, I have a second order de with non-constant coefficients. Normally with a question like this, I would first attempt the Cauchy-Euler method (substitute y=x^m), and then use variation of parameters to find the particular solution.
However, in this case the power of x does NOT match the degree of derivation of y (x is power one, y is 2nd derivative) and substituting y=x^m comes out with something that doesn't seem quite right to me.
I thought of dividing through by x and finding and integrating factor, but then realized it is not in the correct form to do so.
If someone could help me to find the general solution I'm fairly sure I could tackle the particular one.