given

ode:=x^2*diff(y(x),x)+cos(2*y(x)) = 1; 
ic:=y(infinity) = 5/4*Pi; 
mysol:=cot(y(x))=2/x+1;

the above solution is verified against the ode, but Maple do not give zero for the IC part. It gives 

                                 [0, -Pi*_Z6 + Pi]

But we can see the IC are verified also

limit(eval(mysol,y(x)=5/4*Pi),x=infinity)

Gives

                                    1 = 1

my  code checks if the entry in the result of odetest is zero or not. Hence for -Pi*_Z6 + Pi it thinks now the solution is wrong because it is not zero.   Ofcourse looking at it on the screen, we see that for _Z6=1 then it becomes zero.  

The question, why Maple odetest do not return zero for the IC part?

eq:=cot(y)=-A;
solve(eq,y)

eq:=cot(y)=A;
solve(eq,y)

I would expect solution to first to be arccot(-A) and for second to be arccot(A) but Maple likes to write the solution for the first one as Pi-arccot(A).

Of course Maple solution is correct. But why make it so complicated? Why not just give arccot(-A) as solution?  A is just a symbol.

I tried 4 different cas systems and they all give arccot(-A) for first one, except Maple gives Pi-arccot(A)

Is there some subtle reason why Maple gives solution like this instead of the simpler one? 

And is there a way to tell Maple not to do this? This seems to be something hardcoded internally in its automatic trig simplifications? I just do not see the point of writing it this way. May be someone knows why.

according to help under Explore, it says

I wanted to add title at top of the Explore window. But title do not show. 

Explore(plot(a*sin(b*t),t=0..10),
   parameters=[              
        [a=1..20],
        [b=1..20]
        ],
  initialvalues=[a=6,b=5],placement='right',width=300,'title'="My Explore");

I was expecting My Explore to show at top of frame above. What Am I doing wrong?

Maple 2025.2

Is this a bug?  Or one can not mix slider for one variable and textarea for second variable in Explore?

Or do I need to initialize the textarea is special way? Nothing in help shows an example with textarea and slider together.

Download explor_feb_19_2026.mw

I am not able to find an example or how to do this in help.

In Explore, when making a slider, using say 

parameters=[  [ a=1..1000 ], .....]

Is there is a way to tell it to increment "a" by say 10 for each movement of the slider using the mouse? it seems to default in this case to 1 each time.

Actually it is very hard now to make the slider go to the exact value I want. Is there a way to better control what value "a" should be?

In Mathematica, slider supports increment. Also it is possible to open each slider and then click on + and -  in the small window that opens below the slider, where now each click on + now moves the slider by the increment one decides on.  But in Maple I see no place to tell it what increment to use?

If I try this (similar to when using seq command, as in seq(i, i=1..1000,10), it does not work

[ a=1 .. 100, 10 ]

Hoping it will increment/decrement by 10 each time, it gives error.

Imagine a slider that goes from 1 to 10,000. Then how will one control the slider to be say exactly 5,550 ?  It is impossible now. Here is an example

Explore(plot(a*sin(x),x=-3*Pi..3*Pi,'gridlines'),
   parameters=[[a=1 .. 10000]],
   initialvalues=[a=1000],
   width=500,placement='right');

Now try using the slider above to make it go to a=5550. 

very hard to control the slider as it is very sensetive to slider motion, a small touch makes it move by large amount.   

I was hoping that if I can make it move by say 10 at time, so it will be at least easier to control.

Any suggestions?

I see a web page called Slider Component   but have no idea if this is related to Explor or not and how to use it there.

I know I can change the slider to "controller = textarea", and this way I can type in the value I want instead of using a slider. But want to see first if standard slider has a way to allow changing the increment amout. If not, then may be will use textarea instead of slider.