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 Y2 ·/² = Y₂ = y₁(x) y ²₁ (x) -dx as instructed, to find a second solution y₂(x). xy"+y' = 0; Y₁ = In x (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-SP(x) dx
y²} (x)
Y2 = Y₁(x)
Y2
dx
(5)
as instructed, to find a second solution y₂(x).
xy" + y' = 0;
Y₁ = ln 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-SP(x) dx y²} (x) Y2 = Y₁(x) Y2 dx (5) as instructed, to find a second solution y₂(x). xy" + y' = 0; Y₁ = ln x
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,