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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, e-SP(x) dx Yz =Y1(x) Y₂ jª y} (x) dx (5) as instructed, to find a second solution y₂(x). (1 - 2x -x²)y" + 2(1 + x)y' - 2y = 0; y₁ = x + 1

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 Yz =Y1(x) Y₂ jª y} (x) dx (5) as instructed, to find a second solution y₂(x). (1 - 2x -x²)y" + 2(1 + x)y' - 2y = 0; y₁ = x + 1

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 4.2, e-SP(x) dx jª Y₂ Y₂ = y 1(x) y} (x) dx (5) as instructed, to find a second solution y₂(x). (1 - 2x-x²)y" + 2(1 + x)y' - 2y = 0; y₁ = x + 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 Section 4.2, e-SP(x) dx jª Y₂ Y₂ = y 1(x) y} (x) dx (5) as instructed, to find a second solution y₂(x). (1 - 2x-x²)y" + 2(1 + x)y' - 2y = 0; y₁ = x + 1
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