README

maxima-odesolve is a collection of files for maxima that will help in solving linear and nonlinear Ordinary Differential Equations (ODEs).

The goal of the package is to provide the maxima user a collection of individual ODE analysis and solution algorithms that are easy to use and robust.

The contents of the package are currently:

kovacicODE.mac 
Solves linear second order ODEs that have Liouvillian solutions, using the Kovacic algorithm, modified by Saunders and based on the thesis of Carolyn Smith.  

References:
[1] Carolyn J. Smith, A discussion and implementation of Kovacic' algorithm, 
      MSC thesis university of waterloo, 1984
      https://cs.uwaterloo.ca/research/tr/1984/CS-84-35.pdf
[2] B.D. Saunders, An implementation of Kovacic's algorithm for solving second order linear homogeneous differential equations, SYMSAC '81 Proceedings of the fourth ACM symposium on Symbolic and algebraic computation
  Pages 105-108 
[3] Jerald J. Kovacic, An algorithm for solving second order linear homogeneous differential equations, Journal of Symbolic Computation, v.2 n.1, p.3-43, March 1986 

ode1_lie.mac
Solves first order ODEs using Lie point symmetries, using the algorithms developed by Cheb-Terrab and coworkers