Category: LAPLACE FORMULA

Inverse Laplace Transform

Inverse Laplace Transform: As mentioned earlier, inverse Laplace transform is calculated by partial fraction method rather than complex integration evaluation. Let F(s) is the Laplace transform of f(t) then the inverse Laplace transform is denoted as, The F(s), in partial fraction method, is written in the form as, where N(s) = Numerator polynomial in s […]

Convolution Theorem

Convolution Theorem: The convolution theorem of Laplace transform states that, let f1 (t) and f2 (t) are the Laplace transformable functions and F1 (s), F2 (s) are the Laplace transforms of f1 (t) and f2 (t) respectively. Then the product of F1 (s) and F2 (s) is the Laplace transform of f(t) which is obtained […]

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