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-SP(x) dx y(x) Y2=Y₁(x) [3 e dx as instructed, to find a second solution y₂(x). x²y" - xy' + 17y = 0; x (5) Y₁ = x cos(4 In(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,
e-SP(x) dx
Y2
Y₂ = y ₁ (x)
x) [²
as instructed, to find a second solution y₂(x).
e
dx
(5)
x²y" - xy' + 17y=0; y₁ = x cos(4 ln(x))
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 Y₂ = y ₁ (x) x) [² as instructed, to find a second solution y₂(x). e dx (5) x²y" - xy' + 17y=0; y₁ = x cos(4 ln(x)) X
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