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verity that each solution is a solution to the given it is a solution. 1. y" - 2y' + y = 0; candidate solution: y = c₁ex + c₂xex for any real constants c₁ and c₂. 12 $² equation. Also, describe the interval on which t² in daval

verity that each solution is a solution to the given it is a solution. 1. y" - 2y' + y = 0; candidate solution: y = c₁ex + c₂xex for any real constants c₁ and c₂. 12 $² equation. Also, describe the interval on which t² in daval

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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Verify that each solution is a solution to the given differential equation. Also, describe the interval on which it is a solution. 1. y" — 2y' + y = 0; candidate solution: y = c₁e* + c₂xex for any real constants c₁ and c₂. fe = 1; candidate solution: (t) = et² е 2. y'-2ty $² t² ds + e (Hint: use the Fundamental Theorem of Calculus)
Transcribed Image Text:Verify that each solution is a solution to the given differential equation. Also, describe the interval on which it is a solution. 1. y" — 2y' + y = 0; candidate solution: y = c₁e* + c₂xex for any real constants c₁ and c₂. fe = 1; candidate solution: (t) = et² е 2. y'-2ty $² t² ds + e (Hint: use the Fundamental Theorem of Calculus)
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