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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…