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Solve the eigenvalue problems: Ly - ²y = xy for the two following sets of boundary conditions i. y(0)) = 0 and y(3) = 0 == Xk = Yk (x)= ii. y(0)) = 0 and y' (3) = 0 Xk = Yk (x)

Solve the eigenvalue problems: Ly - ²y = xy for the two following sets of boundary conditions i. y(0)) = 0 and y(3) = 0 == Xk = Yk (x)= ii. y(0)) = 0 and y' (3) = 0 Xk = Yk (x)

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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Solve the eigenvalue problems: Ly ₁²y = xy dr² for the two following sets of boundary conditions i. y(0)) = 0 and y(3) = 0 Ak = Yk (x) ii. y(0)) = 0 and y' (3) = 0 Ak = Yk (x) **NOTE: you must leave your answers for the eigenfunctions written in terms of X₁, rather than writing them out explicitly in terms of k, otherwise they won't be recognised as correct***
Transcribed Image Text:Solve the eigenvalue problems: Ly ₁²y = xy dr² for the two following sets of boundary conditions i. y(0)) = 0 and y(3) = 0 Ak = Yk (x) ii. y(0)) = 0 and y' (3) = 0 Ak = Yk (x) **NOTE: you must leave your answers for the eigenfunctions written in terms of X₁, rather than writing them out explicitly in terms of k, otherwise they won't be recognised as correct***
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