For each of the following, verify

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 59E
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For each of the following, verify that the origin is a regular singular point and find two
linearly independent solutions:
(a) 9x²y" + (9x² + 2)y=0
(b) x²(x² - 1)y" — x(1 + x²)y′ + (1 + x²)y=0
Transcribed Image Text:For each of the following, verify that the origin is a regular singular point and find two linearly independent solutions: (a) 9x²y" + (9x² + 2)y=0 (b) x²(x² - 1)y" — x(1 + x²)y′ + (1 + x²)y=0
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