Department of Mathematical Sciences
Computational Science Program
University of Texas at El Paso
El Paso, Texas
Solving Third Order Ordinary Differential
Equations by Using Ricatti Equations
This paper deals with an analytic approach for solving third order ordinary differential equations (ODEs). We show that a general linear differential equation has an associated Ricatti type equation. In addition, the coefficients of the differential equation associated to the integrating factor for the original equation verify Ricatti type equations. The solutions for these Ricatti differential equations are related to the solutions of the original differential equation.