sometimes I need to check if an ode is missing y(x) or not. Since diff(y(x),x) has y(x) in it, then can not just check if the ode has y(x) or not as is, as this will always gives true if diffy(y(x),x) is there of any order.

Currently what I do, is change all y',y'',y''', etc... to Z,Z^2,Z^3,etc... and then after that it is safe to check if y(x) exist or not.

Is there a better way to do this? Below is what I currently do and it works. Just wondering if there could a more elgent way to do this.

Download find_if_any_ode_has_yx_jan_6_2025.mw

I can do that for a cylinder (in green below) but not for a box geometry.

Box_geometry_and_pendulum.msim

intersections := proc(P, Q, T)
local R, W, w, t, a, b, sol, buff, v;
sol := []; if T = Y then W := X; else W := Y; end if;
R := resultant(P, Q, T);
print(`Résultant :`);
print(R);
w := fsolve(R, W); t := [];
for v in [w] do t := [op(t), fsolve(subs(W = v, P), T)]; end do;
for a in [w] do for b in [t] do if T = Y then buff := abs(subs(X = a, Y = b, P)) + abs(subs(X = a, Y = b, Q));
printf(`X=%a,   Y=%a   --->  %a\\n`, a, b, buff); if buff < 1/100000000 then sol := [op(sol), [a, b]]; end if;
else buff := abs(subs(X = b, Y = a, P)) + abs(subs(X = b, Y = a, Q));
printf(`X=%a,   Y=%a   --->  %a\\n`, b, a, buff); if buff < 1/100000000 then sol := [op(sol), [b, a]];
end if; end if; end do; end do;
printf(`Nombre de solutions :  %a\\n`, nops(sol)); print(sol); end proc;
Try with :
intersections(X^2 + Y^2 - 1, X - Y, X); Would you like to develop this procedure which does not give the number of solutions ?Thank you.

i want to factoring the (m+G'/G) in my long equation but i use some trick but still i can't get the exactly system and still G will remain in my system what should i factoring for remove this G(xi) from my system is all about factoring , my system of equation are wrong contain G(xi) How i can remove it by taking a factoring or any other technique,

not parameter is arbitrary except V and sigma''

Download G-factoring.mw

I see this question
https://mathematica.stackexchange.com/questions/309952/how-to-choose-6-numbers-from-the-following-set-so-that-they-represent-the-length
and tried

primes := [seq(ithprime(i), i = 1 .. 20)];
with(combinat);
all_combinations := choose(primes, 6);

I can not make next part.

I’m trying to solve a stiff system 1-D PDEs numerically in Maple but I’m getting the following error:

“Error, (in pdsolve/numeric/match_PDEs_BCs) cannot handle systems with multiple PDE describing the time dependence of the same dependent variable, or having no time dependence”

I included a picture of the PDEs and their BCs in the attached maple file. For easy reading, the attached file includes highlighted sections for parameters and variables. You can skip those to PDEs, BCs and ICs sections at the end of the document to reach the error I’m facing.

For reference, I used another software to solve the system and I was able to get the results in few seconds, so I think it is solvable. However, personally I prefer to use Maple so any inputs, insights, workarounds that I could use to handle the system in Maple would be of great help to me. Thank you.

question.mw

Dear Maple users

I am using the LinearInterpolation command from the Interpolation package. When I however want to integrate the result from one number to another, I only receive an abstract result. It is probably an easy question, but somehow I can't figure it out. I tried using MakeFunction and evalf command in order to receive a number for the integral. I hope someone can help.

Erik

Download Using_interpolation.mw

Hi,

Is there any other way to interrupt a MapleFlow (2024.2) evaluation, other then the red circled ! icon?

Sometimes MF gets stuck in an "Evaluating" state and the red circled ! icon doesn´t work.

Thanks very much in advance for any help.

How do I explain this:

isolve({a*b=4,a>=1,b>=1});

I noticed a strange (for me) appearence of a dollar:

I know $ as an end of parameters marker, but here its role seems strange.
Is it a typsetting issue?

For plotting phase plot of two system of equations (autonomous), is there an option to increase of reduce number of arrows/line drawn?  I am not able to find such an option from help.

Below is an example. Google AI says stepsize should change the number of arrows, but it does not. It had no effect. Below is worksheet showing one example where I like to reduce number of arrows (not the size of the arrow, which is set to medium now).

I also tried numpoints option and it had no effect of how many arrows are drawn

Download change_number_of_arrows_jan_4_2025.mw

For reference, I'd like to do something similar using another system as below where it has option to change number of arrows.

On a similar track,

If you have a worksheet that contains a calculation and results that took very long to complete and saved with all the results, is it possible to load the maple worksheet, and let maple load all the results  and not execute all the commands.

Thereby you can immediately work further and dont have to completely recalculate the worksheet. ?

Basically a resume function for the worksheet. Will save a huge amount of time and I cannot see a reason why the worksheet cannot load just using the previously calculated results in the document.

every structure is true but my plot not run where is issue?
plot.mw

I've been trying to explore or animate a bode plot without success.  I kept simplifying things until I'm back to a basic example (attached).  I'm assuming there is an issue with trying to explore or animate a function that uses a system object, and am wondering if there is an apoproach that works with such structures.  I'm not a Maple jock by any means.

simple_bode.mw

thanks,

Brian

Hello

I programmed a sequence a(n). Up to a(42) Maple had no problem to calculate the term, but when calculating a(43), after a while appears the message

`System error, `, "bad id"

What does that mean and what can I do?
Thank you.