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Inverse Laplace Transform

Like the operations of addition, multiplication, and differentiation, the Laplace transform has also its inverse. During the process of solving physical problems like differential equations, it is necessary to invoke the inverse transform of the Laplace transform. Thus given a Laplace transform F(s) of a function f, we would like to know what f is. Hence, we are concerned with the solution of the integral equation,

 

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21.1 DEFINITION AND EXAMPLES OF INVERSE LAPLACE TRANSFORM

Definition 21.1.    Let f have Laplace transform F(s), that is, L{ f(t)} = F(s), then f(t) is called an inverse Laplace transform of F(s) and ...

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