Posted by
**Markus** on
.

Given the differential equations:

(sin x)y′′+ xy′+(x − 1/9)

y = 0:

• Determine all the regular singular points for the Eq.;

• Derive the indicial equation corresponding to each regular point;

• Determine the form of two linearly independent solutions near each

of regular singular points.

• Give the behavior of solutions as x → 0.