aryajur
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There are 2 definitions of Laplace transform specified - the unilateral one in which the lower limit is 0- and the bilateral one in which the lower limit is -∞. Wikipedia says that generally when we say Laplace transform we mean the unilateral one, and the bilateral one is a general case and the unilateral one is the special case for that.
My question is that the properties of Laplace transformation, especially the differentiation, how is it derived for the bilateral one? Its written that for bilateral definition the differentiation property is:
L[f'(t)] = s F
But I cannot derive it. Any help would be appreciated.
My question is that the properties of Laplace transformation, especially the differentiation, how is it derived for the bilateral one? Its written that for bilateral definition the differentiation property is:
L[f'(t)] = s F
But I cannot derive it. Any help would be appreciated.