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The indicated function y(x) is a solution of the given differential equation. Use redu -JP(x) dx e Y₂ = y₁ (x) dx (5) x²(x) as instructed, to find a second solution Y₂(x). x²y" − xy' + 17y = 0; y₁ = x cos(4 In(x)) - x sin 4 ln x Y₂ = 4

The indicated function y(x) is a solution of the given differential equation. Use redu -JP(x) dx e Y₂ = y₁ (x) dx (5) x²(x) as instructed, to find a second solution Y₂(x). x²y" − xy' + 17y = 0; y₁ = x cos(4 In(x)) - x sin 4 ln x Y₂ = 4

Advanced Engineering Mathematics
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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The indicated function y(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, e-JP(x) dx Y₂ = y₁ (x) /² dx (5) x²(x) as instructed, to find a second solution y(x). Y2 x²y" − xy' + 17y = 0; y₁ = x cos(4 In(x)) x sin 4 ln x 4
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, e-JP(x) dx Y₂ = y₁ (x) /² dx (5) x²(x) as instructed, to find a second solution y(x). Y2 x²y" − xy' + 17y = 0; y₁ = x cos(4 In(x)) x sin 4 ln x 4
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