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Computer Algebra Independent Differential equations Tests

Nasser M. Abbasi

December 20, 2022   Compiled on December 20, 2022 at 12:24 Noon  [public]

Contents

 1 Introduction
 2 Text books used
 3 Design of the test program

1 Introduction

These reports show the result of running Maple and Mathematica on my large collection of differential equations. Diagram illustrating the test system is below.

  1. Maple 2022.2 and Mathematica 13.2 Current version. Updated December 20, 2022.

The command used for Maple is 

dsolve(ode,y(x), singsol=all)

The command used for Mathematica is 

DSolve[ode,y[x],x,IncludeSingularSolutions -> True]

Each command was given 3 minutes of CPU time (not real time). If the command does not complete within this time it is counted as failed. in Mathematica TimeConstrained is used and in Maple timelimit is used.

2 Text books used

The text books used are listed on the page of my own ODE solver at this link ODE solver.

3 Design of the test program

pict
Figure 1: Design of the test program