A Maple procedure based on lambda-symmetries for second-order ordinary differential equations

作者：Vidal J; Muriel C^*; Romero J L; Alonso J J

来源：Applied Mathematics and Computation, 2014, 249: 147-163.

DOI：10.1016/j.amc.2014.10.014

• First integrals
• lambda-Symmetries
• Linearization
• Generalized Sundman transformations

We present a Maple procedure to classify and solve the equations in the class A of the 2nd-order ordinary differential equations that admit first integrals that are polynomials of the first degree in the first order derivative. Computational methods based on the theory of lambda-symmetries permit to obtain the integrating factors, the first integrals, the related lambda-symmetries and, if possible, the general solution. The procedure also provides the local and the generalized Sundman transformations that linearize the equations in the class A.

• 出版日期2014-12-15