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 (5) y} (x) x) / Y2 = Y2 = y₁(x) -dx as instructed, to find a second solution y₂(x). x²y" - xy' +10y = 0; y₁ = x cos(3 In x)
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 (5) y} (x) x) / Y2 = Y2 = y₁(x) -dx as instructed, to find a second solution y₂(x). x²y" - xy' +10y = 0; y₁ = x cos(3 In x)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
SET J3
Differential Equations
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- Reduction of Order
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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
(5)
y} (x)
x) /
Y2 =
Y2 = y₁(x)
-dx
as instructed, to find a second solution y₂(x).
x²y" - xy' +10y = 0; y₁= x cos(3 In x)
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