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2. For the given differential equation, determine whether x=0 is an ordinary point, a regular singular point, or an irregular singular point. If it is a regular singular point, find the roots of the resulting indicial equation. a) x²(1– x²)y" + 2xy' – 2y = 0 b) x²y" + (cosx)y' + xy = 0

2. For the given differential equation, determine whether x=0 is an ordinary point, a regular singular point, or an irregular singular point. If it is a regular singular point, find the roots of the resulting indicial equation. a) x²(1– x²)y" + 2xy' – 2y = 0 b) x²y" + (cosx)y' + xy = 0

Advanced Engineering Mathematics
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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2. For the given differential equation, determine whether x=0 is an ordinary point, a regular singular point, or an irregular singular point. If it is a regular singular point, find the roots of the resulting indicial equation. a) x²(1– x²)y" + 2xy' – 2y = 0 b) x²y" + (cosx)y' + xy = 0
Transcribed Image Text:2. For the given differential equation, determine whether x=0 is an ordinary point, a regular singular point, or an irregular singular point. If it is a regular singular point, find the roots of the resulting indicial equation. a) x²(1– x²)y" + 2xy' – 2y = 0 b) x²y" + (cosx)y' + xy = 0
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