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The indicated function y₁(x) is a solution of the given differential equation. x²y" - 5xy' +9y = 0; Y₁ = x³ Use reduction of order or formula (5) in Section 4.2, as instructed. Y2 = Y₁(X) / e-SP(x) dx x²(x) Find the integrating factor. e-SP(x) dx = е Y₂ Find a second solution y₂(x). dx (5)

The indicated function y₁(x) is a solution of the given differential equation. x²y" - 5xy' +9y = 0; Y₁ = x³ Use reduction of order or formula (5) in Section 4.2, as instructed. Y2 = Y₁(X) / e-SP(x) dx x²(x) Find the integrating factor. e-SP(x) dx = е Y₂ Find a second solution y₂(x). dx (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 y₁(x) is a solution of the given differential equation. x²y" - 5xy' +9y = 0; Y₁ = x³ Use reduction of order or formula (5) in Section 4.2, as instructed. Y2 = Y₁(X) / e-SP(x) dx x²(x) Find the integrating factor. e-SP(x) dx = е Y₂ Find a second solution y₂(x). dx (5)
Transcribed Image Text:The indicated function y₁(x) is a solution of the given differential equation. x²y" - 5xy' +9y = 0; Y₁ = x³ Use reduction of order or formula (5) in Section 4.2, as instructed. Y2 = Y₁(X) / e-SP(x) dx x²(x) Find the integrating factor. e-SP(x) dx = е Y₂ Find a second solution y₂(x). dx (5)
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