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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 x²(x)\ Y2 Y₂ = Y₁(x) [² || dx as instructed, to find a second solution y₂(x). x²y" - 5xy' + 9y = 0; y₁ = x³ (5)

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 x²(x)\ Y2 Y₂ = Y₁(x) [² || dx as instructed, to find a second solution y₂(x). x²y" - 5xy' + 9y = 0; y₁ = x³ (5)

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, -SP(x) dx x²(x) as instructed, to find a second solution y₂(x). x²y" - 5xy' +9y = 0; Y₁ = x² Y₂ = Y₂ = y₁(x) f e dx (5)
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 x²(x) as instructed, to find a second solution y₂(x). x²y" - 5xy' +9y = 0; Y₁ = x² Y₂ = Y₂ = y₁(x) f e dx (5)
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