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 = Y₁(x) [ y ² (x) -dx Y₂ = (5) as instructed, to find a second solution y₂(x). y" + 2y' + y = 0; Y1 = xe-X

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 33CR
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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
Y2
J
=
Y₂ = y ₁ (x)
y²₁ (x)
-dx
as instructed, to find a second solution y₂(x).
y" + 2y' + y = 0; Y₁
= Xe X
(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, -SP(x) dx Y2 J = Y₂ = y ₁ (x) y²₁ (x) -dx as instructed, to find a second solution y₂(x). y" + 2y' + y = 0; Y₁ = Xe X (5)
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