A "Transformation" is an operation which converts a mathematical expression to a different but equivalent form.
UNIT I
INTRODUCTION
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".
(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
MA25C03 2nd Semester EEE Dept | 2025 Regulation | 2nd Semester 2025 Regulation
English Essentials II
EN25C02 2nd Semester | 2025 Regulation | 2nd Semester 2025 Regulation
Tamils and Technology தமிழர்களும் தொழில்நுட்பமும்
UC25H02 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