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)

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,
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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9780321964038
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GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
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