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Consider the function f (same as in the previous problem) defined on the interval [0, 6] as follows, 4 3 x = [0, 3],

 

Consider the function f (same as in the previous problem) defined on the interval [0, 6] as follows, 4 3 x = [0, 3], x = [3, 6]. Find the coefficients C of the eigenfunction expansion of function f, f(x) X, 4, f(x) = cn vn(x), Je n=1 where yn, for n = 1, 2, 3, ... are the unit eigenfunctions of the Regular Sturm-Liouville system -y" = y, y(0) = 0, y' (6) = 0. Note: Label your eigenfunctions so the eigenfunction for the lowest eigenvalue corresponds to n = 1. Therefore, use 2n - 1 instead of 2n + 1. Cn = I M

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