Consider the Sturm-Liouville problem: y" + Ay (-L) 0, -L
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![Consider the Sturm-Liouville problem:
\[ y'' + \lambda y = 0, \quad -L \leq x \leq L \]
\[ y'(-L) = y'(L) = 0. \]
Note that the interval is \([-L, L]\) and NOT \([0, L]\). Find all eigenvalues and eigenfunctions of this problem.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff26fda3f-4323-495f-b28b-f131dcfa5992%2Fca2d5005-f7f6-4472-aa8b-8bff11a5e7e7%2Fply0w9h_processed.jpeg&w=3840&q=75)
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- Find all positive eigenvalues and eigen functions for the Sturm-Liouville y" + xy = 0, y'(0) = 0, t = (0, π) Y(T) = 0.Q1) Consider the problem y"+y= 0, y (0) = 0, y(1) = 0. a) Find the eigenvalues and the eigenfunctions. b) Expand f(x)=x using the above functions.4. For the Sturm-Liouville problem y" + xy = 0, y(0) = 0, y'(L) = 0 find the eigenvalues and eigenfunctions. Verify orthogonality.
- I need to revise for tomorrow it’s more complicated than I used to do, helpFind the eigenvalues and eigen functions of the Strum-Liouville problem u" + Au =0, 0sxQ.2 Use eigenvalues and eigenvectors to solve : 2 X' = -1 8 |х, X(0) —| - 2 2Recommended textbooks for youAdvanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, Incorporated
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