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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, ¥2 = × 1(x) / e-SP(x) dx y²(x) -dx (5) as instructed, to find a second solution y₂(x). (12xx²)y" + 2(1 + x)y' - 2y = 0; ×₁ = x + 1 Y2 xe (음)

The indicated function y₁(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, ¥2 = × 1(x) / e-SP(x) dx y²(x) -dx (5) as instructed, to find a second solution y₂(x). (12xx²)y" + 2(1 + x)y' - 2y = 0; ×₁ = x + 1 Y2 xe (음)

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, ¥2 = × 1(x) / e-SP(x) dx y²(x) -dx (5) as instructed, to find a second solution y₂(x). (12xx²)y" + 2(1 + x)y' - 2y = 0; ×₁ = x + 1 Y2 xe (음)
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, ¥2 = × 1(x) / e-SP(x) dx y²(x) -dx (5) as instructed, to find a second solution y₂(x). (12xx²)y" + 2(1 + x)y' - 2y = 0; ×₁ = x + 1 Y2 xe (음)
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