Brief Notes from Operational Calculus

3 The Laplace Transform in Kinetic Calculations 2.3.1 Brief Notes from Operational Calculus 

The Laplace transformation is one of central notions of operational calculus. The most important application of the latter is analytical seeking of general and particular solutions of some types of differential equations and systems, including ones containing partial derivatives. 

The method of solving linear differential equations and systems using the Laplace transform is named operational. The point of the method is that functions and their derivatives entering differential equations (original functions) are transformed into 

2 Multi-Step Reactions The Methods for Analytical Solving the Direct Problem 

In the precomputer age the above-stated sequence of operations was performed, as a rule, using special tables of original functions and Laplace transforms. Modem mathematical packages, including Mathcad and Maple, are equipped with corresponding tools to perform the direct and inverse Laplace transforms. 

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