Consider the following differential equation, 6xy" + (3 + x) y 3y = 0. Note that xo = 0 is a regular singular point. Suppose that we look for a series solution of the form Cather (a) Find the two roots of the indicial equation. (b) The recurrence formula for the coefficients of the solution with the larger root is given by C1+1 = g(1) ok, a 20. Enter the function g(x) into the answer box below. (c) Taking Co 1, find the first 3 terms of the solution corresponding to the largest root