SHOW Linat Lne 3ry" + 2ry +a?y = 0 as a regular singular point at z = 0. Determine the indicial equation, the recurrence relation, d the roots of the indicial equation. Find the series solution (r > 0) corresponding to the rger root. If the roots are unequal and do not differ by an integer, find the series solution rresponding to the smaller root also.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 76E
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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.
Transcribed Image 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.
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