The indicated function y₁(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, e-/P(x) dx (5) y²(x) Yz=Y1(x) [₁ Y₂ = dx as instructed, to find a second solution y₂(x). x²y" - xy + 17y=0; y₁ = x cos(4 In(x))

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The indicated function y₁(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2,
e-/P(x) dx
V₂ = V₁(x) = x²(x)
(5)
dx
as instructed, to find a second solution y₂(x).
Y₂ =
x²y" - xy + 17y=0; y₁ = x cos(4 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, e-/P(x) dx V₂ = V₁(x) = x²(x) (5) dx as instructed, to find a second solution y₂(x). Y₂ = x²y" - xy + 17y=0; y₁ = x cos(4 In(x))
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