This exercise verifies the claim in the text that the Laplace transform defines a
Chapter 10, Problem 22(choose chapter or problem)
This exercise verifies the claim in the text that the Laplace transform defines a one-to-one linear transformation from V to Rng(L). Let f be a continuous function of exponential order. It suffices to prove that if f is not identically zero, then L[ f ] = 0. [Hint: Show that L[| f |] > 0 if f is not identically zero.]
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