A procedure , numeric, symbolic sphere equation for given sphere centre and 3 circles 

A phytagoras circles example

res := SphereFromSections([8, 4, 0], 4, 3, 5, symbolic = true, plot = true);
res[equation];
res[center], res[radius];

"Sphere equation: ", (x - 3.000000000)^2 + (y - 4.000000000)^2 + z^2 = 25.00000000

opgave_rouben_bol_mprimes_procedure_nmeriek_en_symbolisch_11--8-2025DEF.mw

@Rouben Rostamian  
Ai says  , its ill posed?
At first, the Ai said that the task was impossible, but later AI said that it was possible.( again question) 

.

Download opgac_rouben_bol_mprimes_11--8-2025.mw

@sand15 
The ai  is improved lately, and seems to be much better , making this is not a achievement
bolvergelijking_opstellen_mprimes_10-8-2025.mw

@Carl Love 

bolmet_punt_mprimesDEF_10-8-2025.mw

@AHSAN 

odeplot chooses its own (adaptive or fixed) sample points to draw a nice curve.

Difficulties with interpolation in dsol

Maple stores the numerical solution on an adaptive grid (mesh) — not on my fixed 9 y-values that I want.

That is why I get → Float(undefined) when I try calculate points.

There is no explicit function that is so easily known for the 5 graphs of the fraction coefficient to obtain the plot values.

@AHSAN 
 

That code does not work because the two tables are not filled.

The plot with 5 curves is drawn, so there are known y values, but the current code fails to place function values in the two tables shown.

@AHSAN 

It seems more practical to first create a function value table for 1 plot.

Does Maple have a procedure for this already ?

@AHSAN 
Maple 2025.1  gives right output table structure , but still not complete

@AHSAN 

I enclosed the same file again yesterday ( I must delete post ?) , so i go further with this one (intented for yesterday.). Must be further improved.
 tabel_skin_fraction_coeifficent_mprimes_A_7-8-2025.mw

@AHSAN 
Is the intention to view the function values in a table format?

@AHSAN 
I am stuck here for now 
tabel_skin_fraction_coeiifficient_mprimes-6-8-2025.mw

@AHSAN

nusselt_number_help_fix_5-8-2025.mw

@AHSAN 
Good day , the Excle export is now only in one column, must be further  improved ..
If you are on Windows computer , then chance username ( here it is : jando ) in your own username. 
nusselt-brinkmann_getallen_en_k_waarde_in_excel_5-8-2025.mw 

@lucaud 
What do you want to achieve now?

The system of odes is now for first order solved and it seems be better for handling?

 

Download lagragne_popgave_wiel_omgezet_naar_1e_orde_systeem_ode_30-7-2025.mw