Hi, I need help with parts (iii) and (iv). 7. For each the following differential equations, use the method of Frobe- nius to find series solutions in a neighbourhood of x = 0. (i) 4xy" + 2(1 - x)y' - y = 0. (ii) 2x2y" - xy' t (1 - x)y =0. (iii) 5x2y" + xy' t (23 - 1)y = 0. (iv) x2y" + (x2 + 5/36)y = 0. These are meant to be the answers, but I don't know how to get there. (iii) 1 y(x) = Ax 1 c6- + ... )+Bx-1/5 + 63 13608 27 3888 . . (iv) 1 CO y(x) = Axl/6 2 9 4 + ...+B.-5/6 2 9 320 16 896