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*5.5.9. For the eigenvalue problem d4 +λe³ = 0 dx4 subject to the boundary conditions $(0) = 0 (1) == 0 d(0) = 0 d² (1) = 0, show that the eigenvalues are less than or equal to zero (X ≤ 0). (Don't worry; in a physical context that is exactly what is expected.) Is λ = 0 an eigenvalue?

*5.5.9. For the eigenvalue problem d4 +λe³ = 0 dx4 subject to the boundary conditions $(0) = 0 (1) == 0 d(0) = 0 d² (1) = 0, show that the eigenvalues are less than or equal to zero (X ≤ 0). (Don't worry; in a physical context that is exactly what is expected.) Is λ = 0 an eigenvalue?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 47RE
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*5.5.9. For the eigenvalue problem d4 +λe³ = 0 dx4 subject to the boundary conditions $(0) = 0 (1) == 0 d(0) = 0 d² (1) = 0, show that the eigenvalues are less than or equal to zero (X ≤ 0). (Don't worry; in a physical context that is exactly what is expected.) Is λ = 0 an eigenvalue?
Transcribed Image Text:*5.5.9. For the eigenvalue problem d4 +λe³ = 0 dx4 subject to the boundary conditions $(0) = 0 (1) == 0 d(0) = 0 d² (1) = 0, show that the eigenvalues are less than or equal to zero (X ≤ 0). (Don't worry; in a physical context that is exactly what is expected.) Is λ = 0 an eigenvalue?
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