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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?

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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*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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