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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-SP(x) dx y(x) Y2=Y₁(x) [3 e dx as instructed, to find a second solution y₂(x). x²y" - xy' + 17y = 0; x (5) Y₁ = x cos(4 In(x))

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-SP(x) dx y(x) Y2=Y₁(x) [3 e dx as instructed, to find a second solution y₂(x). x²y" - xy' + 17y = 0; x (5) Y₁ = x cos(4 In(x))

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 y₁(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, e-SP(x) dx Y2 Y₂ = y ₁ (x) x) [² as instructed, to find a second solution y₂(x). e dx (5) x²y" - xy' + 17y=0; y₁ = x cos(4 ln(x)) 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-SP(x) dx Y2 Y₂ = y ₁ (x) x) [² as instructed, to find a second solution y₂(x). e dx (5) x²y" - xy' + 17y=0; y₁ = x cos(4 ln(x)) X
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