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Question: difference in output of solve(identity) in Maple 2024 vs. 2023

Question:difference in output of solve(identity) in Maple 2024 vs. 2023

nm 10583 Maple 2024
solve identity
March 11 2024
1

I have been trying Maple 2024 and found this strange result. 

Calling solve(identity...  on same input in Maple 2024 gives very large and complex output compare with Maple 2023.2.1.

This was causing problem, until I found that simplifying the solution now gives same output as Maple 2023.2.1

But why is this now needed in Maple 2024? i.e. why is calling simplify needed when in Maple 2023 the simpler solution was returned automatically?

I changed my code to call simplify now on result of solve(identity...  but I am just curious what happened to cause this?

Below are two worksheets, one from Maple 2024 and one from Maple 2023.2 and you see the huge difference in result.


 

56056

> 

interface(version);

`Standard Worksheet Interface, Maple 2023.2, Windows 10, November 24 2023 Build ID 1762575`

> 

Physics:-Version();

`The "Physics Updates" version in the MapleCloud is 1693. The version installed in this computer is 1672 created 2024, February 7, 18:34 hours Pacific Time, found in the directory C:\Users\Owner\maple\toolbox\2023\Physics Updates\lib\`

> 

restart;

238012

> 

trial_solution_constants:=[A[1], A[2], A[3], A[4], A[5], A[6], A[7], A[8]];
eq:=-2*A[1]*sin(x)+2*A[2]*cos(x)-4*A[2]*x*sin(x)+2*A[3]*sin(x)+4*A[3]*x*cos(x)+2*A[4]*cos(x)-6*A[5]*sin(3*x)-8*A[5]*x*cos(3*x)+6*A[6]*cos(3*x)-8*A[6]*x*sin(3*x)-8*A[7]*cos(3*x)-8*A[8]*sin(3*x) = x*cos(x)^3;
solve(identity(eq,x),trial_solution_constants)

[A[1], A[2], A[3], A[4], A[5], A[6], A[7], A[8]]

-2*A[1]*sin(x)+2*A[2]*cos(x)-4*A[2]*x*sin(x)+2*A[3]*sin(x)+4*A[3]*x*cos(x)+2*A[4]*cos(x)-6*A[5]*sin(3*x)-8*A[5]*x*cos(3*x)+6*A[6]*cos(3*x)-8*A[6]*x*sin(3*x)-8*A[7]*cos(3*x)-8*A[8]*sin(3*x) = x*cos(x)^3

[[A[1] = 3/16, A[2] = 0, A[3] = 3/16, A[4] = 0, A[5] = -1/32, A[6] = 0, A[7] = 0, A[8] = 3/128]]

> 

 


 

Download solve_identity_march_11_2024_maple_2023.mw

 


 

56056

> 

interface(version);

`Standard Worksheet Interface, Maple 2024.0, Windows 10, March 01 2024 Build ID 1794891`

> 

Physics:-Version();

`The "Physics Updates" version in the MapleCloud is 1693 and is the same as the version installed in this computer, created 2024, March 7, 17:27 hours Pacific Time.`

> 

restart;

56944

> 

trial_solution_constants:=[A[1], A[2], A[3], A[4], A[5], A[6], A[7], A[8]];
eq:=-2*A[1]*sin(x)+2*A[2]*cos(x)-4*A[2]*x*sin(x)+2*A[3]*sin(x)+4*A[3]*x*cos(x)+2*A[4]*cos(x)-6*A[5]*sin(3*x)-8*A[5]*x*cos(3*x)+6*A[6]*cos(3*x)-8*A[6]*x*sin(3*x)-8*A[7]*cos(3*x)-8*A[8]*sin(3*x) = x*cos(x)^3;
solve(identity(eq,x),trial_solution_constants)

[A[1], A[2], A[3], A[4], A[5], A[6], A[7], A[8]]

-2*A[1]*sin(x)+2*A[2]*cos(x)-4*A[2]*x*sin(x)+2*A[3]*sin(x)+4*A[3]*x*cos(x)+2*A[4]*cos(x)-6*A[5]*sin(3*x)-8*A[5]*x*cos(3*x)+6*A[6]*cos(3*x)-8*A[6]*x*sin(3*x)-8*A[7]*cos(3*x)-8*A[8]*sin(3*x) = x*cos(x)^3

[[A[1] = -(3/16)*(648*cos(3)*sin(1)^3+972*cos(3)*sin(1)^2*cos(1)+432*sin(3)*sin(1)^3+648*sin(3)*sin(1)^2*cos(1)+2268*sin(1)^4+1296*sin(1)^3*cos(1)+324*sin(3)*cos(3)-108*sin(1)*cos(3)-585*cos(3)*cos(1)-133*sin(3)^2-153*sin(3)*sin(1)-48*sin(3)*cos(1)-2025*sin(1)^2+225)/(108*sin(1)*cos(3)+99*cos(3)*cos(1)-2*sin(3)^2+153*sin(3)*sin(1)-276*sin(3)*cos(1)-162*sin(1)^2+261), A[2] = (9/32)*(-48*cos(3)*sin(1)^3-72*cos(3)*sin(1)^2*cos(1)+88*sin(3)*sin(1)^3+132*sin(3)*sin(1)^2*cos(1)+864*sin(1)^4-108*sin(1)^3*cos(1)+21*sin(3)*cos(3)+117*sin(1)*cos(3)-144*cos(3)*cos(1)+40*sin(3)^2-12*sin(3)*sin(1)-141*sin(3)*cos(1)-972*sin(1)^2+243*cos(1)*sin(1)+144)/(108*sin(1)*cos(3)+99*cos(3)*cos(1)-2*sin(3)^2+153*sin(3)*sin(1)-276*sin(3)*cos(1)-162*sin(1)^2+261), A[3] = -(3/32)*(648*cos(3)*sin(1)^3+972*cos(3)*sin(1)^2*cos(1)+432*sin(3)*sin(1)^3+648*sin(3)*sin(1)^2*cos(1)+2268*sin(1)^4+1296*sin(1)^3*cos(1)+324*sin(3)*cos(3)-216*sin(1)*cos(3)-684*cos(3)*cos(1)-131*sin(3)^2-306*sin(3)*sin(1)+228*sin(3)*cos(1)-1863*sin(1)^2-36)/(108*sin(1)*cos(3)+99*cos(3)*cos(1)-2*sin(3)^2+153*sin(3)*sin(1)-276*sin(3)*cos(1)-162*sin(1)^2+261), A[4] = 0, A[5] = (1/64)*(216*cos(3)*sin(1)^3+324*cos(3)*sin(1)^2*cos(1)+144*sin(3)*sin(1)^3+216*sin(3)*sin(1)^2*cos(1)+756*sin(1)^4+432*sin(1)^3*cos(1)+41*cos(3)^2+108*sin(3)*cos(3)-216*sin(1)*cos(3)-360*cos(3)*cos(1)-306*sin(3)*sin(1)+444*sin(3)*cos(1)-405*sin(1)^2-401)/(2*cos(3)^2+108*sin(1)*cos(3)+99*cos(3)*cos(1)+153*sin(3)*sin(1)-276*sin(3)*cos(1)-162*sin(1)^2+259), A[6] = -(3/64)*(48*cos(3)*sin(1)^3+72*cos(3)*sin(1)^2*cos(1)-88*sin(3)*sin(1)^3-132*sin(3)*sin(1)^2*cos(1)-864*sin(1)^4+108*sin(1)^3*cos(1)+40*cos(3)^2-21*sin(3)*cos(3)-117*sin(1)*cos(3)+144*cos(3)*cos(1)+12*sin(3)*sin(1)+141*sin(3)*cos(1)+972*sin(1)^2-243*cos(1)*sin(1)-184)/(2*cos(3)^2+108*sin(1)*cos(3)+99*cos(3)*cos(1)+153*sin(3)*sin(1)-276*sin(3)*cos(1)-162*sin(1)^2+259), A[7] = (27/256)*(-48*cos(3)*sin(1)^3-72*cos(3)*sin(1)^2*cos(1)+88*sin(3)*sin(1)^3+132*sin(3)*sin(1)^2*cos(1)+864*sin(1)^4-108*sin(1)^3*cos(1)+21*sin(3)*cos(3)+117*sin(1)*cos(3)-144*cos(3)*cos(1)+40*sin(3)^2-12*sin(3)*sin(1)-141*sin(3)*cos(1)-972*sin(1)^2+243*cos(1)*sin(1)+144)/(108*sin(1)*cos(3)+99*cos(3)*cos(1)-2*sin(3)^2+153*sin(3)*sin(1)-276*sin(3)*cos(1)-162*sin(1)^2+261), A[8] = -(3/256)*(744*cos(3)*sin(1)^3+1116*cos(3)*sin(1)^2*cos(1)+496*sin(3)*sin(1)^3+744*sin(3)*sin(1)^2*cos(1)+2604*sin(1)^4+1488*sin(1)^3*cos(1)+372*sin(3)*cos(3)-216*sin(1)*cos(3)-756*cos(3)*cos(1)-151*sin(3)^2-306*sin(3)*sin(1)+180*sin(3)*cos(1)-2187*sin(1)^2+36)/(108*sin(1)*cos(3)+99*cos(3)*cos(1)-2*sin(3)^2+153*sin(3)*sin(1)-276*sin(3)*cos(1)-162*sin(1)^2+261)]]

> 

simplify(%);

[[A[1] = 3/16, A[2] = 0, A[3] = 3/16, A[4] = 0, A[5] = -1/32, A[6] = 0, A[7] = 0, A[8] = 3/128]]

> 

 


 

Download solve_identity_march_11_2024.mw

 
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