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