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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![Consider the differential equation
x²y" + xy + (x² − y = 0
which has a regular singular point at x = 0.
Determine the indicial equation using the variable r.
Find the recurrence relation.
an =
= 0
Find the roots of the indicial equation.
71 =
1
3
72=
1
3
Choose one
Choose one
an-1 for n = 1, 2, ...
an-2 for n = 2, 3, ...
an-3 for n = 3, 4, ..](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F57b53a71-bf63-4500-babf-6ff795b83fc8%2Fd10657a0-6b3a-43f8-8fad-1ae33db650e6%2Fpey87dm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the differential equation
x²y" + xy + (x² − y = 0
which has a regular singular point at x = 0.
Determine the indicial equation using the variable r.
Find the recurrence relation.
an =
= 0
Find the roots of the indicial equation.
71 =
1
3
72=
1
3
Choose one
Choose one
an-1 for n = 1, 2, ...
an-2 for n = 2, 3, ...
an-3 for n = 3, 4, ..
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