演習問題5.1

1.: 次の関数のラプラス変換を求めよ．
(a): $\displaystyle{ f(t) = \left\{\begin{array}{ll} 2,& 0 \leq t \leq 4\\ t,& 4 < t \end{array}\right.}$
(b): $\displaystyle{ f(t) = t^2 - 2t - 5}$
(c): $\displaystyle{ f(t) = te^{-t}}$
(d): $\displaystyle{ f(t) = e^{2t}\cos{t}}$
(e): $\displaystyle{ f(t) = t^{n}}$