試題詳解

(1.1) Let L [·] denotes the Laplace transform.
(A) The Laplace transform is a linear operation.
(B) If L[F(t)] = F(s), then L[t²F(t)]= F(S)
(C) If L[f(t)] = F(s) , then L = SF(s) - f(0).
(D) If L[f(t)] = F(s) and L[g(t)] = G(s), then L[f* g(t)] = F(s)G(s), where * denotes the convolution integral.
(E) All of the above statements are TRUE.