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The indicated function y(x) is a solution of the given differential equation. Use reduction of order or formula (5) in 4.2, 1/2 = √₂(x)]. as instructed, to find a second solution y₂(x). (1-x²)y" + + 2xy' = 0; Y₁ = 1 Y2 e-SP(x) dx y(x) = dx (5)

The indicated function y(x) is a solution of the given differential equation. Use reduction of order or formula (5) in 4.2, 1/2 = √₂(x)]. as instructed, to find a second solution y₂(x). (1-x²)y" + + 2xy' = 0; Y₁ = 1 Y2 e-SP(x) dx y(x) = dx (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 Sec 4.2, 0/= Y₂ Y₂ = y₁(x) e-SP(x) dx x²(x) dx (5) as instructed, to find a second solution y₂(x). (1 − x²)y" + 2xy' = 0; Y₁ = 1
Transcribed Image Text:The indicated function y₁(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Sec 4.2, 0/= Y₂ Y₂ = y₁(x) e-SP(x) dx x²(x) dx (5) as instructed, to find a second solution y₂(x). (1 − x²)y" + 2xy' = 0; Y₁ = 1
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