In each of problem 1 through 2, (a) find the indicial equation, (b) determine t

In each of problem 1 through 2, (a) find the indicial equation, (b) determine the appropriate form of two linearly independent solutions, and (c) find the first five terms of each of two linearly independent solutions.1. x^2 y” + x(x-1) y’ + (x^2 + 2) y = 02. x^2 y” + 4x y’ + 4y = 12 – 12x^2