LAPLACE TRANSFORM

Introduction of laplace transform             Laplace transform, in mathematics, a particular integral transform invented by the French mathematician Pierre-Simon Laplace (1749–1827), and systematically developed by the British physicist Oliver Heaviside (1850–1925) Its pupose is to simplify the solution of many differential equations that describe physical processes                 DEFINATION OF LAPLACE TRANSFOM

APPLICATION OF LAPLACE TRANSFORM

Laplace transform is an integral transform method which is particularly useful in solving linear ordinary differential equations. It finds very wide applications in various areas of physics, electrical engineering, control engineering, optics, mathematics and signal processing. The Laplace transform can be interpreted as a transformation from the time domain where inputs and outputs are functions of time to the frequency domain where inputs and outputs are functions of complex angular frequency

BASIC FORMULAS OF LAPLACE TRANSFORM