Yes, the question states use the power series method to solve the differential equation (1-x^2)y'' - 2xy' + 12y = 0 note that you will have to break off the x^0 and x^1 terms. the general recursion relation will involve only c_k+2 and c_k. one solution is a polynomial (all coefficients beyond a certain point are zero). find that solution exactly (give all nonzero terms) and find the first four nonzero terms of the other solution. your solutions will be in terms arbitrary constants c_0 and c_1.