Put the given differential equation into form (3) in Section 6.3 (x − x0)2y'' + (x − x0)p(x)y' + q(x)y = 0 (3) for each regular singular point of the equation. Identify the functions p(x) and q(x). (x2 − 1)y'' + 4(x + 1)y' + (x2 − x)y = 0 (p(x),q(x))=( ? ) (smaller X0-value) (p(x),q(x))=( ? ) (Larger X0-value)
Put the given differential equation into form (3) in Section 6.3 (x − x0)2y'' + (x − x0)p(x)y' + q(x)y = 0 (3) for each regular singular point of the equation. Identify the functions p(x) and q(x). (x2 − 1)y'' + 4(x + 1)y' + (x2 − x)y = 0 (p(x),q(x))=( ? ) (smaller X0-value) (p(x),q(x))=( ? ) (Larger X0-value)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Put the given
(x − x0)2y'' + (x − x0)p(x)y' + q(x)y = 0 (3)
for each regular singular point of the equation. Identify the functions p(x) and q(x).
(x2 − 1)y'' + 4(x + 1)y' + (x2 − x)y = 0
(p(x),q(x))=( ? ) (smaller X0-value)
(p(x),q(x))=( ? ) (Larger X0-value)
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