Any idea why Maple returns empty string when asked for the latex of the Laplace of x(t)?  Am I doing anything wrong here? I do not see it

Download latex_of_laplace_nov_21_2024.mw

I was expecting something like this using another software

Did Maple always behave this way for Laplace? I do not have earlier version now to check.  Any workaround?

Is this a known error when using PDEtools:-Solve? I get no error using solve on same input, so thought to ask, just in case it should not happen.

For now, I will change my code to use solve for this.

I am basically solving two equations in Laplace domain for Y1(s) and Y2(s). But since there are initial conditions x(0) and y(0) in the equations, and Laplace has L(x(t),t,s)  then PDEtools:-Solve is not happy, as it sees x(t) and x(0) in same input.

But solve has no problem with this. Who is correct? solve or Solve?

Download differenece_between_solve_and_Solve_nov_20_2024.mw

I was not expecting odesteps to show steps for this ode, but crash the server each and everytime?

Anyone could find why? I am using Maple 2024.2 on windows 10 with latest Physics. This might indicate serious problem somewhere. Software should not really crash this easily.

Download crash_server_nov_18_2024.mw

here is small movie

I am learning patten matching in Maple. 

Any one could explain why patmatch(1, (x::anything)^(n::'nonunit'(anything)))   gives true but patmatch(2, (x::anything)^n::'nonunit'(anything)); gives false?

Download patmatch_question_nov_16_2024.mw

I was expecting result similar to using this other software

I do not understand Maple's result. How could I change the patmatch so it does not match 1 to the pattern x::anything^n::anything where n is not 1 ?

Update

To give context, I was trying to write this example from the other software  in Maple:

But when I wrote this

expr:=1 + x^2 + x^4;

F:=proc(X::anything,x::symbol)
    local la,y,n;
    if patmatch(X, (y::anything)^(n::'nonunit'(anything)) ,'la') then  
       f(eval(n,la));
     else
        X;
     fi;
end proc;

map(X->F(X,x), expr);

Maple gave 

So I modified the code now to check for explicit 1,  to avoid this bad match, like this

expr:=1 + x^2 + x^4;

F:=proc(X::anything,x::symbol)
    local la,y,n;
    if patmatch(X, (y::anything)^(n::'nonunit'(anything)) ,'la') then  
        if eval(y,la)=1 then #bug in maple?
           X;
        else
           f(eval(n,la));
        fi;
     else
        X;
     fi;
end proc;

map(X->F(X,x), expr);

And now it gives expected result

Given list L:=[3,4,x,x^2,x^3]; return list of all exponents of x (other than 1). So result should be [2,3]

But this has to be done using patmatch, as this is what I am learning. Not using other means. This is my current code that does this.

restart;
L:=[3,4,x,x^2,x^3];
f:=proc(X::anything,x::symbol)
 local la,n;
 if patmatch(X,x^n::nonunit(anything),'la') then
    assign(la);
    RETURN(n);
 else
    RETURN(NULL);
 fi;
end proc;

map(X->f(X,x),L);

Returns [2,3]

I wanted to shorten it using `if` so that no need to call external function f() as shown. So I wrote

L:=[3,4,x,x^2,x^3];
map(X->`if`( patmatch(X,x^n::anything,'la'),[assign(la), n],NULL),L);

But the problem is that on first entry, the assign(la) now assigns value to n and hence it is no longer a name for the next element in the list L. This gives error

Error, (in PatternMatching:-AlgStruct:-Match) first operand of `::' must be a name
So I added  unassign('n') like this

restart;
L:=[3,4,x,x^2,x^3];
map(X->[unassign('n'),`if`( patmatch(X,x^n::nonunit(anything),'la'),[assign(la), n],NULL)][],L);

And now this returns 

            [[2], [3]]

How to make it return [2,3]? Why did it add extra []? How can the above be shortened more? and still return [2,3]

edit: I found how to get rid of the extra [], like this

restart;
L:=[3,4,x,x^2,x^3];
map(X->[unassign('n'),`if`( patmatch(X,x^n::nonunit(anything),'la'),[assign(la), n][],NULL)][],L);

Now it returns [2,3] , needed to add extra [] after each closing [.....]

In another system, the code is 

Cases[{3, 4, x, x^2, x^3}, x^n_ -> n]

    {2, 3}
   

I was trying to make the Maple code as short as possible. I know it will not be as short as the above.

The question is: Can above code be made shorter but still use patmatch?

Again, I am looking for only solution using patmatch. I know I can use select and types in Maple to do this also.

Maple 2024.2