1. The problem statement, all variables and given/known data Find two power series solutions of the DE (x+2)y'' + xy' - y = 0 about the ordinary point x = 0 . Include at least first four nonzero terms for each of the solutions. 2. The attempt at a solution I distributed the y'' term and substituted y = Ʃ0inf cnxn and its derivatives into the DE. I equated it to 0 and got two equations: 2c2 - c0 = 0 xn(cn+1*n(n+1) + cn+2*(n+1)(n+2)+ cn*(n-1)) = 0 The weird thing is that the second equation (the recurrence relationship) has three c terms in it, although the examples shown have two. How do I get c2 and c0? After that happens should I simply solve for c1 using the recurrence relationship with n = 0?