試題詳解

20、Consider the following partial differential equation for the bivariate function v(x, t)
, 0 ≤ x ≤ 10, t ≥ 0
subject to conditions

Express the solution v(x, t) in the following form

for some constants ,  ∈ satisfying 0 ≤ r₀＜r₁＞r₂＜... ＞ 0 for n = 1, 2,... Which of the following statements is/are true?
(A)
(B)
(C)
(D)

(E) None of the above is true.