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 y} (x) (5) Y2 = Y₁(x) [ Y2 = -dx as instructed, to find a second solution y₂(x). y" + 36y = 0; Y₁ = cos 6x
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 y} (x) (5) Y2 = Y₁(x) [ Y2 = -dx as instructed, to find a second solution y₂(x). y" + 36y = 0; Y₁ = cos 6x
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 H5
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,
Y2 =Y₂(X)/
e-SP(x) dx
y} (x)
(5)
as instructed, to find a second solution y₂(x).
y" + 36y = 0;
Y₁ = cos 6x
Y2 =
-dx
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