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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, -SP(x) dx Y₂ = y₁(x) Y2 = e /² x²(x) dx (5) as instructed, to find a second solution y₂(x). 4x²y" + y = 0; y₁ = x¹/2 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, -SP(x) dx Y₂ = y₁(x) Y2 = e /² x²(x) dx (5) as instructed, to find a second solution y₂(x). 4x²y" + y = 0; y₁ = x¹/2 In(x)

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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Mar 285 ordinary differental equations 

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/₂ = Y/₁ (X) / € / X ² ( x ) Y2 -dx Y₂ = (5) as instructed, to find a second solution y₂(x). 4x²y" + y = 0; Y₁ Y₁ = x¹/2 = 2 In(x)
Transcribed Image Text: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/₂ = Y/₁ (X) / € / X ² ( x ) Y2 -dx Y₂ = (5) as instructed, to find a second solution y₂(x). 4x²y" + y = 0; Y₁ Y₁ = x¹/2 = 2 In(x)
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