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Represent the function: f(x) = x as a series of eigenfunctions of the Sturm-Liouville problem: (with L = 1) y" + ly = 0 y’(0) = hy(1) + y’(1) = 0 (h > 0) ln = b2n yn(x) = cos(bnx) (n ³ 1) Where bn is the n-th positive root of tan(x) = h/x
Represent the function:
f(x) = x
as a series of eigenfunctions of the Sturm-Liouville problem: (with L = 1)
y" + ly = 0
y’(0) = hy(1) + y’(1) = 0 (h > 0)
ln = b2n
yn(x) = cos(bnx) (n ³ 1)
Where bn is the n-th positive root of tan(x) = h/x
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