59 citations · 67 across the 5 of their papers we have counts for
5 papers
Hypergeometric solutions for third order linear ODEs
Edgardo S. Cheb-Terrab, Austin D. Roche
In this paper we present a decision procedure for computing pFq hypergeometric solutions for third order linear ODEs, that is, solutions for the classes of hypergeometric equations…
Integrating factors for second order ODEs
E. S. Cheb-Terrab, A. D. Roche
A systematic algorithm for building integrating factors of the form mu(x,y), mu(x,y') or mu(y,y') for second order ODEs is presented. The algorithm can determine the existence and…
An Abel ordinary differential equation class generalizing known integrable classes
E. S. Cheb-Terrab, A. D. Roche
We present a multi-parameter non-constant-invariant class of Abel ordinary differential equations with the following remarkable features. This one class is shown to unify, that is,…
Abel ODEs: Equivalence and Integrable Classes
E. S. Cheb-Terrab, A. D. Roche
A classification, according to invariant theory, of non-constant invariant Abel ODEs known as solvable and found in the literature is presented. A set of new integrable classes dep…
Integrating Factors and ODE Patterns
E. S. Cheb-Terrab, A. D. Roche
A systematic algorithm for building integrating factors of the form mu(x,y') or mu(y,y') for non-linear second order ODEs is presented. When such an integrating factor exists, the…