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First integrals for time-dependent higher-order Riccati equations by nonholonomic transformation

✍ Scribed by Partha Guha; A. Ghose Choudhury; Barun Khanra

Book ID
104012910
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
228 KB
Volume
16
Category
Article
ISSN
1007-5704

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✦ Synopsis

We exploit the notion of nonholonomic transformations to deduce a time-dependent first integral for a (generalized) second-order nonautonomous Riccati differential equation. It is further shown that the method can also be used to compute the first integrals of a particular class of third-order time-dependent ordinary differential equations and is therefore quite robust.

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