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Unformatted text preview: function. 7. Find the Fourier series for the function f ( x ) = 1x 2 dened on (2,2). How would it change if it were dened on (1 , 3)? 8. Find the eigenfunctions and eigenvalues for the following SturmLiouville problem on the interval (0 , 7): y 00 + y = 0 y (0) = 0 y (7) = 0 What is the weighting function for the orthogonality of the eigenfunctions? 9. Use the Frobenius method if possible to solve x 2 y 00 + 4 xy + ( x 2 + 2) y = 0 If not possible say why not....
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 Fall '06
 BELMONTE
 Calculus, Power Series

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