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3. (a) Verify that yı = = ex and y2 = xe* are solutions of on (-∞, ∞). y" - 2y' + y = 0

3. (a) Verify that yı = = ex and y2 = xe* are solutions of on (-∞, ∞). y" - 2y' + y = 0

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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3. = ex and y2 = xe* are solutions of (a) Verify that yı = y" - 2y' + y = 0 (A) on (-∞, ∞). (b) Verify that if c₁ and c₂ are arbitrary constants then y = e* (c₁ + C2x) is a solution of (A) on (-∞, ∞).
Transcribed Image Text:3. = ex and y2 = xe* are solutions of (a) Verify that yı = y" - 2y' + y = 0 (A) on (-∞, ∞). (b) Verify that if c₁ and c₂ are arbitrary constants then y = e* (c₁ + C2x) is a solution of (A) on (-∞, ∞).
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