試題詳解

18、Consider the following differential equation for the function y(t) defined for t ≥ 0

where u(t) is the usual unit-step (Heaviside) function and where * is the usual convolutional operation of two functions. Assume y(t) = 0 for t ＜ 0. Given the initial condition y(0) = 1, which of the following statements is/are true regarding the Laplace transform Y(s) = {y(t)} of solution y(t) in the above equation?
(A) Y(s =) = −6
(B) Y(s = 1) = 1
(C) Y(s = 2) =
(D) Y(s = 3) =

(E) None of the above is true.