1. The problem statement, all variables and given/known data Find general solution to: xy''+2y'+4xy=0 2. Relevant equations Frobenius Method or Bessel's Equation 3. The attempt at a solution I know how to get the roots for this problem (which are r1 = 0 & r2 = -1). But not I don't know what to do with these roots. I know that this is considered "Case 3", but I seriously don't know what to do from here. Furthermore, I have attempted to solve for y1(x) and came up with the answer: y1(x) = a0(x^-1)cos(2x) + ((a1)/2)(x^-1)sin(2x) If this is right, then I'm not sure what the next step is. Do I do reduction of order? I hope not because that would take FOREVER. Wolfram Alpha has the general solution as y= (c1(exp(-2ix)))/x - (ic2(exp(2ix)))/4x I'm totally lost. Any help would be appreciated.