radius of convergence of each series
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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Transcribed Image Text:Use the method of power series to find a solution of
the following differential equation, Determine the
radius of convergence of each series.
2. y" - 4y = 0, y(0) = 2, y' (0) = 0.
3. y" + y2y = 0; y(0) = 1, y' (0) = −2.
4. (x² - 1)y" + 4xy + 2y = 0
5. y" + xy = 0
6. y" + xy' — 2y = 0; y(0) = 1, y' (0) = 0
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