The simplest and fastest method of solving Exact Differential Equation by developing the idea of Basic Functions

TL;DR

This paper introduces a novel, simplified method for solving exact differential equations with multiple variables by defining and utilizing Basic Functions, significantly improving efficiency over traditional approaches.

Contribution

It develops a new approach based on Basic Functions, providing a faster and simpler solution method for exact differential equations with n variables.

Findings

Method reduces solution time compared to standard techniques

Theorems establish properties of Basic Functions for solving equations

Applicable to differential equations with multiple variables

Abstract

This paper concerns exact differential equations. First, I define two types of functions which I have named Basic Function of Type One and Basic Function of Type Two. I then derive the property and theorems of these functions. Finally, by applying the property and theorems of Basic Functions, I establish the method of solving exact differential equation with n variables which is significantly simpler and faster than the standard method.