Chapter 2
Summary of results

2.1 Basic statistics
2.2 Table of solved but not verified
2.3 Table of ode’s not solved
2.4 Table of first order ode’s not solved
2.5 Table of first order system of ode’s not solved
2.6 Table of second order ode’s not solved
2.7 Table of higher order ode’s not solved
2.8 Table not solved by both Maple and this program
2.9 Table of statistics per ODE type
2.10 Table of ODE’s Maple solved using Kovacic algorithm
2.11 Table of ODE’s with Lie symmetry and symgen output. First order only
2.12 Table of ODE’s with Lie symmetry and symgen output, Linear symmetries only. First order ode’s
2.13 Table of ODE’s with Lie symmetry and symgen output. Second order only
2.14 Table of ODE’s with Lie symmetry and symgen output, Linear symmetries only. Second order ode’s
2.15 Table of ODE’s with Lie symmetry and symgen output, Linear symmetries only. Higher order ode’s
2.16 A main lookup table. Sorted sequentially by problem number
2.17 A main lookup table sorted sequentially side by side solutions
2.18 A main lookup table for problems with implicit solutions
2.19 A main lookup table for problems solved by first factoring
2.20 A main lookup table. Sorted by text book used
2.21 Tables of ODE’s broken by type of ODE