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math-ph2000
First order ODEs, Symmetries and Linear Transformations
E. S. Cheb-Terrab, T. Kolokolnikov
An algorithm for solving first order ODEs, by systematically determining symmetries of the form [ xi = F(x), eta = P(x) y + Q(x) ], where xi d/dx + eta d/dy is the symmetry generat…
math-ph2000
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…
math.GM2000
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,…