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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, e-SP(x) dx (5) x²(x) as instructed, to find a second solution y₂(x). y" - 8y + 16y=0; y₁ = ex Y₂ = Y₂=Y₂(X) [² dx

The indicated function y(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, e-SP(x) dx (5) x²(x) as instructed, to find a second solution y₂(x). y" - 8y + 16y=0; y₁ = ex Y₂ = Y₂=Y₂(X) [² dx

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, e-SP(x) dx x²(x) Y₂=Y₂(x) [² Y₂ dx as instructed, to find a second solution y₂(x). y" - 8y' + 16y = 0; y₁ = e4x X (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, e-SP(x) dx x²(x) Y₂=Y₂(x) [² Y₂ dx as instructed, to find a second solution y₂(x). y" - 8y' + 16y = 0; y₁ = e4x X (5)
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