@sand15 

You also have Maplet Builder  for working in a worksheet , which should be easy to use, but because it is so user-unfriendly, it is...
- you have to memorise all the controls right away, because there is no feedback on the mapletbuilder self about their name/meaning.

- the controls in the mapletbuilder are all very small to see.
You would think it would be a piece of cake to create your GUI with the mapletbuilder, wouldn't you?

The teaching material is so poorly designed that even Example 1a: Simple Maplet does not mention the starting point for the Maplet Builder. 
Another clumsy feature is that you can set up your canvas via the file menu, which is called “new” in Maple.
If there's one thing I dislike, it's trial and error as a learning strategy, because it's the most unfavourable learning strategy.
Using the Maplet Builder becomes a puzzle, and that's exactly what it shouldn't be.
 

@sand15 

Thanks, that looks great in the maplet plot.
In Maple 2025, the explorer plot is larger for the plot3d structure size = [1100, 850] , so it's also a good plot.
I don't know how difficult it is to create an explorer plot or a maplet in comparison.

Creating maplets with AI did not prove successful (not with deepseek: goes very well), but that may also have to do with the fact that I have to give step-by-step instructions. But then I have to delve into the maplet code again.
You start with a blank screen and then fill in the components.
There should also be a maplet version created by you on the forum, but I can't see it?

Note: using a 10-year-old version of Maple means you're lagging behind in terms of the new possibilities

uitleegoop_prammering_3_voorbeelden_vergelijk_mprimes_20-10-2025.mw

@nm 

it was wrong about the manual as it seems,unfortunaly. 

version 3 seems to be right oop programming, ?

@sand15 
Yes, you could also enlarge the plot and then you would definitely see it. C(t,0) surface, I suppose.
Otherexample pde
exploreplotgebruiken_met_pdes_mprimes_13-10-2025.mw

SOLUTION SURFACE OF PARTIAL DIFFERENTIAL EQUATION

SOLUTION_SURFACE_OF_PARTIAL_DIFFERENTIAL_EQUATION_mprimes_12-10-2025DEF.mw

@sand15 

Thank you. It is indeed not a question, but more of a small investigation into how to deal with a PDE.

Now only for u(x,t) solutions surfaces

The plot legend now attached makes it much clearer, because the start for this PDE solution is when C(t) = 0 is an initial surface, but I do not see this initial surface in the plot?

An Explore plot would also be a good idea to see the solution surfaces for different boundary conditions.

@Rouben Rostamian  

It's all done via AI, because I'm not a experienced Maple user, as I don't have the knowledge at my fingertips at the moment.

PlotCilinderInBol(0., 1, true)

Rotating spherical surface  containing a moving cylinder 
The cylinder diameter can be adjusted and the animation can be turned on or off.

bol_en_cilinder_animatie_mprimes_10-10-2025.mw

@Rouben Rostamian  
I do nothing with transparency.
The second new code does not affect transparency, but simply draws now a hole in the spherical surface.

For a surface other than a sphere, you could determine the 3D intersection curve, turn it into a white surface, and position it.

animatie_halve_bol_met_cilinder_mprimes_recreatief_9-10-2025.mw

@salim-barzani 
t_plot_domein_definition_for_functie_K_mprimes_8-10-2025.mw

@sand15 
Thanks for the oversight of this subject.

BesselI and BesselK are the modified Bessel functions of the first and second kinds, respectively.  They satisfy the modified Bessel equation:
            "x^2*`y''` + x*`y'` - (v^2 + x^2)*y = 0"
Seems that here is no explicit third kind modified bessel function in Maple ?

There is a singularity at (0,0)  ?

@Kitonum 
Thanks 

with(Optimization);
[ImportMPS, Interactive, LPSolve, LSSolve, Maximize, Minimize, 

  NLPSolve, QPSolve]

Minimize(419*x^2 + 116*x*y - 426*x*z + 78*y^2 - 142*y*z + 133*z^2 - 1604*x - 682*y + 1086*z + 2306);
       [0., [x = 7.00000000000007, y = 11.0000000000001, 

         z = 13.0000000000002]]

Seems to be not strict symbolic ?

@salim-barzani 
Is this function for the 3 plots on different times ?
"can you plot by Ai you have lets see how many shape you have ?"   what are shapes ?

2*((t*(-alpha*conjugate(lambda[1] + lambda[2]*I)^3 + b*conjugate(lambda[1] + lambda[2]*I) + c*r[2] + a) + 2*beta*(y*conjugate(lambda[1] + lambda[2]*I) + z*r[2] + x))/(2*beta) + (t*(-alpha*(lambda[1] + lambda[2]*I)^3 + b*(lambda[1] + lambda[2]*I) + c*r[1] + a) + 2*beta*(y*(lambda[1] + lambda[2]*I) + z*r[1] + x))/(2*beta))/(((t*(-alpha*(lambda[1] + lambda[2]*I)^3 + b*(lambda[1] + lambda[2]*I) + c*r[1] + a) + 2*beta*(y*(lambda[1] + lambda[2]*I) + z*r[1] + x))*(t*(-alpha*conjugate(lambda[1] + lambda[2]*I)^3 + b*conjugate(lambda[1] + lambda[2]*I) + c*r[2] + a) + 2*beta*(y*conjugate(lambda[1] + lambda[2]*I) + z*r[2] + x)))/(4*beta^2) - 4/((lambda[1] + lambda[2]*I - conjugate(lambda[1] + lambda[2]*I))^2*alpha))