Let f(t) be a function on [0, ∞). The Laplace transform of f is the function F defined by the integral F(s) = Sestf(t)dt

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Let F T Be A Function On 0 The Laplace Transform Of F Is The Function F Defined By The Integral F S Sestf T Dt 1 (22.61 KiB) Viewed 67 times

Let f(t) be a function on [0, ∞). The Laplace transform of f is the function F defined by the integral F(s) = Sestf(t)dt. Use this definition to determine the Laplace transform of the following function. f(t) = e4t, 0<t<2 1, 2<t ….. 1 The Laplace transform of f(t) is F(s) = for all positives and F(s) = 2 + (Type exact answers.) 00 -8 e otherwise. 0