If a second order differential equation has a regular singular point at x = 0 with repeated roots of the indicial equation, r1 = r2 = r,

(a) Find all values of r for which the first solution satisfies lim x0+ y1(x) = 0.

(b) Find all values of r for which the first solution satisfies lim x0+ y1(x) = .

(c) Find all values of r for which the second solution satisfies lim x0+ y2(x) = 0.

(d)Find all values of r for which the second solution satisfies lim x0+ y2(x) = .

Hint: In parts (c) and (d), you may need L'Hopital's Rule.