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[15] Solve the eigenvalue problem X"(x) + X'(x) - XX(x) = 0 X (0) = 0, X(a) = 0. 0

[15] Solve the eigenvalue problem X"(x) + X'(x) - XX(x) = 0 X (0) = 0, X(a) = 0. 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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#15

### Eigenvalue Problem **Problem Statement:** Solve the eigenvalue problem: \[ X''(x) + X'(x) - \lambda X(x) = 0 \quad \text{for} \quad 0 < x < a, \] with the boundary conditions: \[ X(0) = 0, \quad X(a) = 0. \]
Transcribed Image Text:### Eigenvalue Problem **Problem Statement:** Solve the eigenvalue problem: \[ X''(x) + X'(x) - \lambda X(x) = 0 \quad \text{for} \quad 0 < x < a, \] with the boundary conditions: \[ X(0) = 0, \quad X(a) = 0. \]
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