Fyi;

An updated report comparing Maple's and Mathematica's for solving
differential equations is available. This version contains 10,997 ode
up from 10,258 from last year. 59 Textbooks are used. These include
E. Kamke, 3rd and George Moseley Murphy books.

https://12000.org/my_notes/CAS_ode_tests/index.htm

Both Maple and Mathematica improved their performace of % solved compared
to last year's. More statistics are given above.

Number of odes: 10,997 (Oct. 2023)
==================================
Maple 2023.1: 94.689%
Mathematica 13.3.1: 93.362%


Number of odes: 10,258 (December 2023)
=======================================
Maple 2022.2: 94.532%
Mathematica 13.2: 93.264%

Number of odes: 10,044 (November 2022)
======================================
Maple 2022.2: 94.454%
Mathematica 13.1: 93.260%

--Nasser

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"Nasser M. Abbasi" schrieb:

Fyi;

[...]

Number of odes: 10,258 (December 2023) =======================================
Maple 2022.2: 94.532%
Mathematica 13.2: 93.264%

December 2023: Have you tunneled through a relativistic wormhole?

Martin.

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On Friday, 6 October 2023 at 18:06:32 UTC+11, Nasser M. Abbasi wrote:

Fyi;

An updated report comparing Maple's and Mathematica's for solving differential equations is available. This version contains 10,997 ode
up from 10,258 from last year. 59 Textbooks are used. These include
E. Kamke, 3rd and George Moseley Murphy books.

https://12000.org/my_notes/CAS_ode_tests/index.htm

Both Maple and Mathematica improved their performace of % solved compared
to last year's. More statistics are given above.

Number of odes: 10,997 (Oct. 2023)
==================================
Maple 2023.1: 94.689%
Mathematica 13.3.1: 93.362%

Number of odes: 10,258 (December 2023) =======================================
Maple 2022.2: 94.532%
Mathematica 13.2: 93.264%

Number of odes: 10,044 (November 2022)
======================================
Maple 2022.2: 94.454%
Mathematica 13.1: 93.260%

--Nasser

where is your list of problems? does it include any order differrential eq? e.g. complex order. May I suggest you test with MathHandbook as well? it can solve some problems that other cannot solve, e.g.
Internal problem ID [119]

------------------------------------
MathHandbook.com

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On 10/6/2023 12:00 PM, clicliclic@freenet.de wrote:


Opps, sorry about the typo. Here is corrected date

Number of odes: 10,997 (Oct. 2023)
==================================
Maple 2023.1: 94.689%
Mathematica 13.3.1: 93.362%


Number of odes: 10,258 (December 2022)
=======================================
Maple 2022.2: 94.532%
Mathematica 13.2: 93.264%

Number of odes: 10,044 (November 2022)
======================================
Maple 2022.2: 94.454%
Mathematica 13.1: 93.260%

For run-time performance, this is the result for current tests

Maple 2023.1
=============
mean time(sec) 0.138
mean-leaf size 330
total time 25 minutes

Mathematica 13.3.1
===================
mean time(sec) 3.895
mean-leaf size 771
total time 713 minutes

Any bugs/problems/question please let me know so I can correct it.

--Nasser

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where is your list of problems? does it include any order differrential eq? e.g. complex order. May I suggest you test with MathHandbook as well? it can solve some problems that other cannot solve, e.g.
Internal problem ID [119]

The 11,000 problems now are just listed on the pages you see. I do not
have them listed in separate plain text in one file. They are in an
internal database. One day, I will make a list in plain text file
to download.

Problem ID [119] is

Book: Differential equations and linear algebra, 3rd ed., Edwards and Penney Section: Section 1.6, Substitution methods and exact equations. Page 74

2*x/y(x)-3*y(x)^2/x^4+(-x^2/y(x)^2+1/y(x)^(1/2)+2*y(x)/x^3)*diff(y(x),x) = 0

This is solved by Maple. But Mathematica did not solve it for some reason.

DSolve[2*x/y[x]-3*y[x]^2/x^4+(-x^2/y[x]^2+1/y[x]^(1/2)+2*y[x]/x^3)*y'[x]==0,y[x],x]

------------------------------------
MathHandbook.com

--Nasser

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On Saturday, 7 October 2023 at 11:24:31 UTC+11, Nasser M. Abbasi wrote:

where is your list of problems? does it include any order differrential eq? e.g. complex order. May I suggest you test with MathHandbook as well? it can solve some problems that other cannot solve, e.g.
Internal problem ID [119]

The 11,000 problems now are just listed on the pages you see. I do not
have them listed in separate plain text in one file. They are in an
internal database. One day, I will make a list in plain text file
to download.

If you can publish your list in separate plain text, I can test more, as 1012 problems of Differential Equations were tested with WolframAlpha and MathHandbook.com online.
http://DrHuang.com/index/tests/
https://server.DrHuang.com/index/tests/

Problem ID [119] is

Book: Differential equations and linear algebra, 3rd ed., Edwards and Penney Section: Section 1.6, Substitution methods and exact equations. Page 74

2*x/y(x)-3*y(x)^2/x^4+(-x^2/y(x)^2+1/y(x)^(1/2)+2*y(x)/x^3)*diff(y(x),x) = 0

This is solved by Maple. But Mathematica did not solve it for some reason.

DSolve[2*x/y[x]-3*y[x]^2/x^4+(-x^2/y[x]^2+1/y[x]^(1/2)+2*y[x]/x^3)*y'[x]==0,y[x],x]

------------------------------------
MathHandbook.com

--Nasser

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