Generalization of Euler's equations
Abstract: A wide class of linear ordinary differential equations reducible to algebraic equations is studied. The method for solving all these equations is given. The new class depends essentially on two arbitrary functions and contains the constant coefficient equations and Euler's equations as particular cases.
- 1. Nail H. Ibragimov, Elementary Lie group analysis and ordinary differential equations, Wiley Series in Mathematical Methods in Practice, vol. 4, John Wiley & Sons, Ltd., Chichester, 1999. MR 1679646
- 2. N.H. Ibragimov, A practical course in differential equations and mathemtical modelling, 3rd ed. ALGA Publications, Karlskrona, 2006.
Retrieve articles in Quarterly of Applied Mathematics with MSC (2000): 34A30
Retrieve articles in all journals with MSC (2000): 34A30
Nail H. Ibragimov
Affiliation: Department of Mathematics and Science, Research Centre ALGA: Advances in Lie Group Analysis, Blekinge Institute of Technology, SE-371 79 Karlskrona, Sweden
Keywords: Equations reducible to algebraic equations, symmetries, solution method, Euler's equations
Received by editor(s): February 4, 2008
Published electronically: March 24, 2009
Article copyright: © Copyright 2009 Brown University