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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. e-SP(x) dx x²(x) Y₂ Y₂ = y ₁ (x) = [: dx as instructed, to find a second solution y₂(x). y" + 100y = 0; Y₁ = cos(10x) (5)

The indicated function y₁(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4. e-SP(x) dx x²(x) Y₂ Y₂ = y ₁ (x) = [: dx as instructed, to find a second solution y₂(x). y" + 100y = 0; Y₁ = cos(10x) (5)

Advanced Engineering Mathematics
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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The indicated function y₁(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4. e-SP(x) dx x²(x) Y₂ = y ₁(x) Y₂ = [: dx (5) as instructed, to find a second solution y₂(x). y" + 100y = 0; Y₁ = cos(10x)
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. e-SP(x) dx x²(x) Y₂ = y ₁(x) Y₂ = [: dx (5) as instructed, to find a second solution y₂(x). y" + 100y = 0; Y₁ = cos(10x)
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