Symmetries and first order ODE patterns

Abstract A scheme for determining symmetries for certain families of first order ODEs, without solving any differential equations, and based mainly in matching an ODE to patterns of invariant ODE families, is presented. The scheme was implemented in Maple, in the framework of the ODEtools package and its ODE-solver. A statistics of the performance of this approach in solving the first order ODE examples of Kamke's book (E. Kamke, Differentialgleichungen: Lösungsmethoden und Lösungen (Chelsea, New York... Title of program: Extension to ODEtools package Catalogue Id: ADIP_v1_0 Nature of problem Analytical solving of first order ordinary differential equations using symmetry methods. Versions of this program held in the CPC repository in Mendeley Data ADIP_v1_0; Extension to ODEtools package; 10.1016/S0010-4655(98)00071-X This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)