Consider the differential equation x²y" + xy' + (x² − 1) y = 0 - which has a regular singular point at x = 0. Determine the indicial equation using the variable r. an = Find the recurrence relation. = 0 71 = = 3 Find the roots of the indicial equation. an-2 for n = Choose one 12 = Choose one an-1 for n = an-3 1, 2, . . . 2, 3, ... for n = 3, 4, . . .
Consider the differential equation x²y" + xy' + (x² − 1) y = 0 - which has a regular singular point at x = 0. Determine the indicial equation using the variable r. an = Find the recurrence relation. = 0 71 = = 3 Find the roots of the indicial equation. an-2 for n = Choose one 12 = Choose one an-1 for n = an-3 1, 2, . . . 2, 3, ... for n = 3, 4, . . .
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 44E
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