試題詳解

20、Consider the following partial differential equation for the bivariate function v(x, t)

subject to conditions

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

for some constants an, bn, pn, qn, rn ∈ R satisfying 0 ≤ r₀ ＜ r₁ ＜ r₂ ＜ ... and ＞0
for n = 1, 2, ... Which of the following statements is/are true?
(A) a₀ = -
(B) b₁ =
(C) p₃ =
(D) r₄ =
(E) None of the above is true.