Electrical Engineering ⇒ Topic : Laplace transform

Sunita
 
The Laplace transform method is named after its discoverer Pierre Simon Marquis de Laplace, the worldrenowned French astronomer and mathematician. Laplace was better known for celestial mechanics. The Laplace transformation is a very powerful method for solving linear differential equations which we come across in the study of engineering problems. In circuit analysis as well as in any other engineering discipline, the following two steps are involved:
Differential equations can be solved either by classical methods or by Laplace transform. To solve ordinary differential equations by classical methods, the following steps must be followed:
The classical methods are very difficult to apply to differential equations where the excitation functions having derivative terms are involved. The Laplace transform method is superior to the classical methods. The chief advantage of the Laplace transform method is that it automatically takes care of the initial conditions. It is not required to first determine the general solution and then the particular solution. The direct solution of nonhomogeneous differential equations is possible by the Laplace transform method  
 
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