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Wednesday, November 2, 2011

LAPLACE TRANSFORM

Introduction:
•  The Laplace transform is named in honor of mathematician and astronomer Pierre-Simon Laplace, who used the transform in his work on probability theory.
• Like the Fourier transform, the Laplace transform is used for solving differential and integral equations.
• Laplace transform is a widely used integral transform.
• Laplace transform is just a shortcut for complex calculations.

Real Life Applications:
•    The Laplace transform turns a complicated nth order differential equation to a corresponding nth degree polynomial.

• In physics and engineering, it is used for analysis of linear time-invariant systems such as electrical circuits, harmonic oscillators, optical devices, and mechanical systems.
• The Laplace transform is one of the most important equations in digital signal processing and electronics.
•  In Nuclear physics, Laplace transform is used to get the correct form for radioactive decay.
• The Laplace transform reduces a linear differential equation to an algebraic equation, which can then be solved by the formal rules of algebra.FOR MORE APPLICATIONS CLICK HERE