Am I missing something in the Frobenius method?? 1. The problem statement, all variables and given/known data Use the method of Frobenius to find solutions near x= 0 of each of the differential equations. 3. The attempt at a solution x^2 y'' + (2x^2 + 3x)y' + (x-(5/4))y = 0 My work is as follows: http://imgur.com/3XvP4.jpg I don't know where I went wrong, or what I'm doing wrong. My r's are correct of 1/2 and -5/2. I use r =1/2 first, and when I evaluate for n = 1 I get... ..x^1/2 [c_o - c_o/2 x + c_o/5 x^2 + 2c_o /5 + ...] the answer in the back of the book has the last line in that pic. I know that I haven't finished solving for the other r, but the portion that is circles with the arrow, does not match what I have so far. I noticed they have their sigma starting at n=0. I tried evaluating them for the n's but my answer differ. :( please help.