Jayashri Madhukar Kumbhar

Applications of Laplace Transform in Engineering and Applied Mathematics

The Laplace transform is one of the most powerful integral transforms in applied mathematics, converting linear ordinary differential equations with constant coefficients into algebraic equations that are far easier to manipulate. This paper presents a comprehensive study of the...

Applications of First and Second Order Differential Equations in Science and Engineering

Differential equations form the mathematical backbone of nearly every quantitative discipline, providing the language through which change is modelled, predicted, and controlled. This paper presents a systematic study of first order and second order ordinary differential equation...