The indicated function y, (x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, -SP(x) dx Y2 = Y(x) (5) as instructed, to find a second solution y (x). x²y" - xy + 26y = 0; y, = x sin(5 In(x)) Y2 =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
The indicated function y, (x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section
4.2,
-SP(x) dx
Y2 = Y1(x)
(5)
as instructed, to find a second solution y (x).
x²y" – xy" + 26y = 0; y, = x sin(5 In(x))
Transcribed Image Text:The indicated function y, (x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, -SP(x) dx Y2 = Y1(x) (5) as instructed, to find a second solution y (x). x²y" – xy" + 26y = 0; y, = x sin(5 In(x))
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