The indicated function y(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, Y₂ = X₁ (X)/5 e-/P(x) dx x²(x) dx (5) as instructed, to find a second solution y₂(x). y" + 2y + y = 0; Y₁ = xe*

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
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 9E: Find the general solution for each differential equation. Verify that each solution satisfies the...
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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,
--SP(x) dx
x²(x)
×]²
Y₂ =
Y₂ = x1(x)
-dx
as instructed, to find a second solution y₂(x).
V = xe
y" + 2y' + y = 0;
(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, --SP(x) dx x²(x) ×]² Y₂ = Y₂ = x1(x) -dx as instructed, to find a second solution y₂(x). V = xe y" + 2y' + y = 0; (5)
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9780321964038
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Pearson Addison Wesley,