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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-/P(x) dx Y₂ N Y₂ = y ₁ (x) 11 √² + ²(x) as instructed, to find a second solution y₂(x). y" + 2y + y = 0; y₁ = xe-x dx (5)

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-/P(x) dx Y₂ N Y₂ = y ₁ (x) 11 √² + ²(x) as instructed, to find a second solution y₂(x). y" + 2y + y = 0; y₁ = xe-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. Use reduction of order or formula (5) in Section 4.2, e-/P(x) dx y²2(x) Y₂ = Y/₁(x) [² 1/₂ = dx (5) as instructed, to find a second solution y₂(x). y" + 2y' + y = 0; y₁ = xe-x
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-/P(x) dx y²2(x) Y₂ = Y/₁(x) [² 1/₂ = dx (5) as instructed, to find a second solution y₂(x). y" + 2y' + y = 0; y₁ = xe-x
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