Symmetries, integrals and solutions of ordinary differential equations of maximal symmetry
β Scribed by P. G. L. Leach; R. R. Warne; N. Caister; V. Naicker; N. Euler
- Book ID
- 107589361
- Publisher
- Indian Academy of Sciences
- Year
- 2010
- Tongue
- English
- Weight
- 159 KB
- Volume
- 120
- Category
- Article
- ISSN
- 0253-4142
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The Riccati transformation is used in the reduction of order of second and third Ε½ . order ordinary differential equations of maximal symmetry. The sl 2, R subalgebra is preserved under this transformation. The Riccati transformation is itself associated with the symmetry that is annihilated in the
We undertake a study of the first integrals of linear nth order scalar ordinary differential equations with maximal symmetry. We establish patterns for the first integrals associated with these equations. It is shown that second and third order equations are the pathological cases in the study of hi