1. Function f(t) is defined for positive values of t. The Laplace transform of f(t), denoted as L{f(t)}, is defined as: That is, after the transform, f(t) becomes a new function F which is a function of variable s.
申論題內容
1.2 (4%) Let √(df(t)/dt) be denoted as f'(t). Then show that L{f'(t)} = sF(s)-f(0). You may need to apply
integration by parts for the calculation.