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?

Posted: nm 11333 Product: Maple 2024

August 15 2024

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);

>	Physics:-Version();

libname;

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

restart;

>	eqs:=[-2arctanh((_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);

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