Transcription of Laplace Transform Methods - unf.edu
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Laplace Transform Methods - unf.edu
CHAPTER 1. Laplace Transform Methods Laplace Transform is a method frequently employed by engineers. By applying the Laplace Transform , one can change an ordinary dif- ferential equation into an algebraic equation, as algebraic equation is generally easier to deal with. Another advantage of Laplace Transform is in dealing the external force is either impulsive , (the force lasts a very shot time period such as the bat hits a baseball) or the force is on and off for some regular or irregular period of time. 1. The Laplace Transform If f (t) is defined over interval [0, ), the Laplace Transform of f , denoted as f (s), is Z . b L(f ) = f (s) = e st f (t) dt 0.]
Laplace transform is a method frequently employed by engineers. By applying the Laplace transform, one can change an ordinary dif-ferential equation into an algebraic equation, as algebraic equation is generally easier to deal with. Another advantage of Laplace transform
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