Consider the following differential equation: (x² – 4)y" – xy' – 3y = 0 i. Verify that x, = 0 is an ordinary point. ii. Determine its series solutions about x, = 0, using the Power Series Method. Indicate the recurrence relation and write the first four non-zero terms (unless it terminates earlier) of the series solutions.
Consider the following differential equation: (x² – 4)y" – xy' – 3y = 0 i. Verify that x, = 0 is an ordinary point. ii. Determine its series solutions about x, = 0, using the Power Series Method. Indicate the recurrence relation and write the first four non-zero terms (unless it terminates earlier) of the series solutions.
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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