Laplace Transform of tf(t)
Free ebook http://tinyurl.com/EngMathYTThe video presents a simple proof of an result involving the Laplace transform of tf(t). In particular it is shown that the Laplace transform of tf(t) is -F'(s), where F(s) is the Laplace transform of f(t). The proof involves an application of Leibniz rule for differentiating integrals. I also give an example at the end illustrating how to apply the proven result.Laplace transforms find important applications in solving ordinary differential equations with discontinuities. Such ideas are seen in 2nd-year university mathematics courses.