Transforms and its Applications: UNIT 1: Laplace Transforms

Definition and Uses of Laplace Transform

A "Transformation" is an operation which converts a mathematical expression to a different but equivalent form.

UNIT I

LAPLACE TRANSFORM

 

INTRODUCTION

 

Definition: Transformation

A "Transformation" is an operation which converts a mathematical expression to a different but equivalent form.

Example:

(1) d/dx (ex) = ex

(2) ʃ ex dx = ex + c

Laplace Transformation named after a Great French mathematician Pierre Simon De Laplace (1749 ‒ 1827) who used such transformations in his researches related to "Theory of Probability".

The powerful practical Laplace transformation techniques were developed over a century latter by the English Electrical Engineer OLIVER HEAVISIDE (1850‒1925) and were often called "Heaviside ‒ Calculus".

 

USES OF LAPLACE TRANSFORMATION

(1) It is used to find the solution of linear differential equations ‒ ordinary as well as partial.

(2) It helps in solving the differential equation with initial values directly, without finding the general solution and then finding the values of the arbitrary constants and the boundary value problems can be solved indirectly.


Transforms and its Applications: UNIT 1: Laplace Transforms : Tag: Engineering mathematics, Maths : - Definition and Uses of Laplace Transform


Transforms and its Applications: UNIT 1: Laplace Transforms



Under Subject


Transforms and its Applications

MA25C03 2nd Semester EEE Dept | 2025 Regulation | 2nd Semester 2025 Regulation



Related Subjects


English Essentials II

EN25C02 2nd Semester | 2025 Regulation | 2nd Semester 2025 Regulation



Transforms and its Applications

MA25C03 2nd Semester EEE Dept | 2025 Regulation | 2nd Semester 2025 Regulation


Applied Physics (EE) II

PH25C04 2nd Semester EEE Dept | 2025 Regulation | 2nd Semester 2025 Regulation


Basic Civil and Mechanical Engineering

GE25C01 2nd Semester EEE Dept | 2025 Regulation | 2nd Semester 2025 Regulation


Engineering Drawing

ME25C01 EEE, Mech, Agri, EEE Depts | 2025 Regulation | 2nd Semester 2025 Regulation


Data Structures and Algorithms

CS25C04 2nd Semester EEE Dept | 2025 Regulation


Re-Engineering for Innovation

ME25C05 2nd Semester | 2025 Regulation | 2nd Semester 2025 Regulation


Engineering Drawing - Laboratory

ME25C01 2nd Semester | 2025 Regulation | 2nd Semester 2025 Regulation


Data Structures and Algorithms - Laboratory

CS25C04 2nd Semester EEE Dept | 2025 Regulation | 2nd Semester 2025 Regulation