The point x = 0 is a regular singular point of the given differential equation.
4x2y'' + xy' + (x2 + 1)y = 0
Show that the indicial roots r of the singularity do not differ by an integer. (List the indicial roots below as a comma-separated list.)
r = ?
Use the method of Frobenius to obtain two linearly independent series solutions about x = 0. Form the general solution on (0, ?).