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 ...

In this work, we establish a connection between the extended Prelle–Singer procedure with five other analytical methods which are widely used to identify integrable systems in the contemporary ...

First‑order differential equations, linear and separable equations, integrating factors, applications. Second‑order linear differential equations. Fundamental solutions, linear independence, Wronskian ...