Q1) Consider the problem y "+2y=0, y '(0) = 0, y ( 1) = 0. a) Find the eigenvalues and the eigenfunctions. b) Expand f(x)=x using the above functions.

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Q1) Consider the problem y "+2y=0, y '(0) = 0, y ( 1) = 0.
a) Find the eigenvalues and the eigenfunctions.
b) Expand f(x)=x using the above functions.
Transcribed Image Text:Q1) Consider the problem y "+2y=0, y '(0) = 0, y ( 1) = 0. a) Find the eigenvalues and the eigenfunctions. b) Expand f(x)=x using the above functions.
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