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# Consider the nonlinearly perturbed eigenvalue problem: d2 dx2 + = 3 with (0) = 0 and (L)

ISBN: 9780321797056 284

## Solution for problem 9.6.5 Chapter 9.6

Applied Partial Differential Equations with Fourier Series and Boundary Value Problems | 5th Edition

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Applied Partial Differential Equations with Fourier Series and Boundary Value Problems | 5th Edition

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Problem 9.6.5

Consider the nonlinearly perturbed eigenvalue problem: d2 dx2 + = 3 with (0) = 0 and (L) = 0. Determine the perturbation of the eigenvalue 1. Since the problem is nonlinear, the amplitude is important. Assume L 0 2 dx = a2. Sketch a as a function of

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