Find the first four terms of power series solution of the initial-value problem d²y dx² dy dx (x²-1); +3x- + xy = 0, y(0) = 4, y′(0) = 6 .
Find the first four terms of power series solution of the initial-value problem d²y dx² dy dx (x²-1); +3x- + xy = 0, y(0) = 4, y′(0) = 6 .
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:Find the first four terms of power series solution of the initial-value
problem
(x²
d²y
1)-
dx²
dy
+ 3x
dx
Aus⇒
An
+ xy = 0, y(0) = 4, y'(0) = 6 .
y = 4 + 6x +¹x³ + 1/x²¹
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