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Question: why PDEtools:-Solve fails to same two equations in 2 unknowns when solve can?

Question:why PDEtools:-Solve fails to same two equations in 2 unknowns when solve can?

nm 9899 Maple 2024
solve pdetools
August 15 2024
3

I found a case where PDEtools:-Solve fail and solve works. I do not understand why. 

Is this a bug or what is going on? I thought they should give same result.


 

> 

restart;
> 

interface(version);

`Standard Worksheet Interface, Maple 2024.1, Windows 10, June 25 2024 Build ID 1835466`

> 

Physics:-Version();

`The "Physics Updates" version in the MapleCloud is 1787 and is the same as the version installed in this computer, created 2024, August 10, 8:50 hours Pacific Time.`

> 

libname;

"C:\Users\Owner\maple\toolbox\2024\Physics Updates\lib", "C:\Program Files\Maple 2024\lib"

> 

restart;
> 

eqs:=[-2*arctanh((_C1-1)^(1/2)/_C1^(1/2)) = _C2, 0 = _C1^(3/2)*tanh(1/2*_C2)*sech(1/2*_C2)^2];
unknowns:={_C1,_C2};

[-2*arctanh((_C1-1)^(1/2)/_C1^(1/2)) = _C2, 0 = _C1^(3/2)*tanh((1/2)*_C2)*sech((1/2)*_C2)^2]

{_C1, _C2}

> 

sol1:=solve(eqs,unknowns);

{_C1 = 1, _C2 = 0}

> 

sol2:=PDEtools:-Solve(eqs,unknowns);

> 

 


 

Download why_PDEtools_Solve_fail_august_14_2024.mw

 
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