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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 = Y₁₂(x) [ + y ² (x) dx Y₂ = (5) as instructed, to find a second solution y₂(x). 4y" - 20y' + 25y = 0; 5x/2 V₁ = e5x

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 = Y₁₂(x) [ + y ² (x) dx Y₂ = (5) as instructed, to find a second solution y₂(x). 4y" - 20y' + 25y = 0; 5x/2 V₁ = e5x

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, --SP(x) dx J Y₂ = Y₂ = y₁(x) dx as instructed, to find a second solution y₂(x). 4y" 20y' + 25y = 0; e5x/2 (5) Y₁ = e
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, --SP(x) dx J Y₂ = Y₂ = y₁(x) dx as instructed, to find a second solution y₂(x). 4y" 20y' + 25y = 0; e5x/2 (5) Y₁ = e
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