, Find two linearly independent solutions of 2a²y" – xy' + (2x +1)y = 0, x > 0 of the form Y1 = r" (1+a,x+azx² + azx³ + • ..) 2 = r"(1+ b,x + bzx² + bz¤³ + • . .) where ri > r2.

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied unde…