1. The problem statement, all variables and given/known data Show that y'' + ((1+2n)/x)y' + y = 0 is satisfied by x-nJn(x) 2. Relevant equations y= x-nJn(x) y'=-x-nJn+1(x) y''=nx-n-1Jn+1(x) - x-n(dJn+1(x) /dx) 3. The attempt at a solution Equation in question becomes: x-n(2(n/x)Jn+1 - Jn - ((1+2n)/x)Jn+1 + Jn) = x-n(-x-1Jn+1) which isn't 0 ? Perhaps I made the mistake when I differentiated y? Help would be very much appreciated.