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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. e-SP(x) dx 1² Y₂ = Y₂ = y₁(x) x^²} (x) -dx (5) as instructed, to find a second solution y₂(x). y" - 12y' + 36y= 0; y₁ = ex

The indicated function y(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4. e-SP(x) dx 1² Y₂ = Y₂ = y₁(x) x^²} (x) -dx (5) as instructed, to find a second solution y₂(x). y" - 12y' + 36y= 0; y₁ = ex

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 (5) 1² Y₂ = Y₂ = y₁(x) e y²} (x) -dx as instructed, to find a second solution y₂(x). y" - 12y' + 36y = 0; y₁ = ex
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 (5) 1² Y₂ = Y₂ = y₁(x) e y²} (x) -dx as instructed, to find a second solution y₂(x). y" - 12y' + 36y = 0; y₁ = ex
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