Homework answers / question archive / 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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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)

l_n = b²_n

y_n(x) = cos(b_nx)      (n ³ 1)

Where b_n is the n-th positive root of tan(x) = h/x