Show that the differential equation 3r*y" + 2ry +*y = 0 has a regular singular point at r = 0. Determine the indicial equation, the recurrence relation, and the roots of the indicial equation. Find...

0) corres ponding to the larger root. If the roots are unequal and do not differ by an integer, find the series solution corresponding to the smaller root also. "/>
Extracted text: Show that the differential equation 3r*y" + 2ry +*y = 0 has a regular singular point at r = 0. Determine the indicial equation, the recurrence relation, and the roots of the indicial equation. Find the series solution (r > 0) corres ponding to the larger root. If the roots are unequal and do not differ by an integer, find the series solution corresponding to the smaller root also.