Answered: (2 + x)y" + (1 + x)y' + 3y = 0

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(2 + x)y" + (1 + x)y' + 3y = 0

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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Question

a) Determine if x₀ = 0 is an ordinary or a singular point. If it is a singular point, determine if it
is a regular or an irregular singular point.

b) Based on your results in (a), use the appropriate method to determine two linearly
independent series solutions about x₀ = 0. Indicate, the indicial equation, the root(s) of the
indicial equation, and the recurrence relation, where applicable.

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