as instructed, to find a second solution y₂(x). I x²y" - xy' + 10y = 0; Y₁ = x cos(3 In(x))

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

4.2.8

The indicated function y₁(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section
4.2,
-SP(x) dx
V₂ =√₁(x)].
y²} (x)
as instructed, to find a second solution y₂(x).
Y₂ =
e
dx
(5)
x²y" - xy' + 10y = 0; Y₁ = x cos(3 In(x))
Transcribed Image Text:The indicated function y₁(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, -SP(x) dx V₂ =√₁(x)]. y²} (x) as instructed, to find a second solution y₂(x). Y₂ = e dx (5) x²y" - xy' + 10y = 0; Y₁ = x cos(3 In(x))
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