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 generalizes ...

Coupled differential equations which describe the simultaneous relaxation of different components at greatly different rates present a difficulty in numerical integration, since the integration ...

The resulting coupled first order differential equations are solved using appropriate matrix techniques and the physical significance of the model is discussed. A number possible classroom exercises ...

This repository contains Python code for approximating the solution of a second-order inhomogeneous ordinary differential equation (ODE) with boundary conditions using an Extreme Learning Machine (ELM ...

Linearization of coupled second-order nonlinear ordinary differential equations (SNODEs) is one of the open and challenging problems in the theory of differential equations. In this paper, we describe ...

ABSTRACT: The coupled system of non-linear second-order reaction differential equation in basic enzyme reaction is formulated and closed analytical ex-pressions for substrate and product ...