3)Show that the large eigenfunctions of the problemy″ + X(x + π)¹y = 0, y(0) = y(t) = 0,are given approximately byλ9n²4974for large integers n and find the corresponding eigenfunctions.

The given differential equation is: y''+λ(x+π)4y=0, with the boundary conditions: y(0) = 0, y(π) =…

Answered: 3) Show that the large eigenfunctions…

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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3) Show that the large eigenfunctions of the problem y" + x(x + n) ¹y = 0, y(0) = y(T) = 0, are given approximately by X - 9n² 4974 for large integers n and find the corresponding eigenfunctions.