First start by writing it clearly. Do you mean y''+ 2/(xy')= cy or y''+ (2/x)y'= cy? Since you refer to "2/x", I guess you mean the latter. That is a linear second order differential equation with variable coefficients which has a regular singularity at x= 0. If you multiply through by x you get xy''+ 2y'- cy= 0. The simplest thing to do is to look for a power series of the form where b is NOT 0. Or look for a series solution of the form where c is a positive number.