The first part of the paper deals with an infinite system of weakly coupled (this means that every equation contains derivatives of only one unknown function ...

Abstract: A previous work showed how to apply D'Alembert's method in solving two-coupled first-order ordinary differential equations with variable coefficients. As an extension of it, this letter ...

This project explores the intersection of advanced calculus and macroeconomic theory. We model economic indicators such as inflation, GDP, and money supply growth using differential equations and ...

Coupled second-order nonlinear differential equations are of fundamental importance in dynamics. In this part of our study on the integrability and linearization of nonlinear ordinary differential ...