Exploring Vedic Sutra Techniques for Solving Ordinary Differential Equations

Abstract

The primary aim of this paper is to examine the use of Vedic Mathematics sutras in deriving derivatives and solving ordinary differential equations. Vedic sutras such as Urdhva-Tiryagbhyam, Ekanyunena Purvena, Calana-Kalanabhyam, Gunakasamuccayah, and Lopanasthapanabhyam helps to simplify the computational process. The study seeks to establish the relevance and efficiency of these Vedic principles in differentiation and differential equation solving. Employing Vedic methods for obtaining derivatives and solutions significantly reduces computational complexity and enhances mental calculation speed. Some illustrative examples are presented to demonstrate the application of these sutras in differentiation. The findings indicate that Vedic Mathematics offers a simplified, faster, and more intuitive approach to solving ordinary differential equations.