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Symmetries, integrals and solutions of ordinary differential equations of maximal symmetry

✍ 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

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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