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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 y(x) as instructed, to find a second solution y₂(x). 25y" 40y' + 16y = 0; 4x/5 Y₂ = [: Y₂ = y₁(x) dx (5) Y₁ = e

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 y(x) as instructed, to find a second solution y₂(x). 25y" 40y' + 16y = 0; 4x/5 Y₂ = [: Y₂ = y₁(x) dx (5) Y₁ = e

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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4.2.7

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 + Y ₂(X) / ² Y₂ Y₂ = y₁(x) -SP(x) dx y} (x) dx (5) as instructed, to find a second solution y₂(x). 25y" - 40y' + 16y = 0; Y₁ = e4 4x/5
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 + Y ₂(X) / ² Y₂ Y₂ = y₁(x) -SP(x) dx y} (x) dx (5) as instructed, to find a second solution y₂(x). 25y" - 40y' + 16y = 0; Y₁ = e4 4x/5
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