Variation of (a) Skin friction ∂W/∂Z​, (b) Heat Transfer ∂θ/∂Z​, and (c) Mass Transfer ∂ϕ/∂Z​ for γ=10.0, Pr=7.0, ε=1.0, Nt=0.4, and Nb=0.2.

how to get this values by solving the PDE by using the pdsolve method 

Variation of (a)W(b) θ and (c) ϕ for different value of γ when ε = 10.0, Nb = 0.4, ε = 10.0, Sc = 0.5 and Pr = 7.0.
consider X as 0.1

plume_work.mw

Could someone please check if this error happens in earlier versions of Maple? I have only Maple 2025.2 on Windows.

Unable to upload worksheet due to new security. Here is the code to run

restart;
integrand:=-3*(Pi-2*arcsin(tau))*(tau+1)^(1/2)*(tau+(tau^2-1)^(1/2))^(2*(tau^2-1)^(1/2)/(tau-1)^(1/2)/(tau+1)^(1/2))*(tau-1)^(1/2)*(-16/3*tau^2+Pi-2*arcsin(tau)+8/3)/(4*tau^2-4);

int(integrand,tau)

The error is 

Over the past year, I have spent a lot of time talking to educators, researchers, and engineers about AI. The feeling is almost universal: it is impressive, it is helpful, but you should absolutely not trust it with your math even if it sounds confident.

That tension between how capable AI feels and how accurate it actually is has been on my mind for months. AI is not going away. The challenge now is figuring out how to make it reliable.

That is where Maple MCP comes in.

Maple MCP (Model Context Protocol) connects large language models like ChatGPT, Claude, Cohere, and Perplexity to Maple’s world-class math engine.

When your AI encounters math, your AI can turn to Maple to handle the computation so the results are ones you can actually trust.

It is a simple idea, but an important one: Maple does the math and the AI does the talking. Instead of guessing, the AI can be directed to call on Maple whenever accuracy matters.

Model Context Protocol (MCP) is an emerging open standard that allows AI systems to connect to external tools and data sources. It gives language models a structured way to request computations, pass inputs, and receive reliable outputs, rather than trying to predict everything in text form.

Here is a high-level view of how MCP fits into the broader ecosystem:

MCP lets an AI system connect securely to specialized services, like Maple, that provide capabilities the model does not have on its own.

If you want to learn more about the MCP standard, the documentation is a great starting point: Model Context Protocol documentation

Here is a glimpse of what happens when Maple joins the conversation:

Depending on the prompt, Maple MCP can evaluate expressions symbolically or numerically, execute Maple code, expand or factor expressions, integrate or solve equations, and even generate interactive visualizations. If you ask for an exploration or an activity, it can create a Maple Learn document with the parameters and sliders already in place.

As an example of how this plays out in practice, I asked Maple MCP:

“I'd like to create an interactive math activity in Maple that allows my students to explore the tangent of a line for the function f(x) = sin(x) + 0.5x for various values of x.”

It generated a complete Maple Learn activity that was ready to use and share. You can open the interactive version here: interactive tangent line activity .

In full disclosure, I did have to go back and forth a bit to get the exact results I wanted, mostly because my prompt wasn’t very specific, but the process was smooth, and I know it will only get better over time.

What is exciting is that this does not replace the LLM; it complements it. The model still explains, reasons, and interacts naturally. Maple simply steps in to do the math—the part AI cannot reliably do on its own.

We have opened the Maple MCP public beta, and I would love for you to try it.

Sign up today and we will send you everything you need to get started!

Currently, when I have solution to an ode, say y(x)=sin(x)+_C1 and have some initial condition, then to solve for _C1,  I manually substitute the solution into the IC and replace each x by x0 and replace each derivative manually and so on.

This is because I could not find automatic way to do this. Using another software, it is possible to automate this by writing the solution using the  y -> Function[{x}, ...] syntax. But in Maple, I was not sure how to do the same.

Here is a simple made up example. 

sol:= y(x) = sin(x)+_C1;
IC := a*D(y)(x0)+c*y(x0)= b*y0+exp((D@@2)(y)(x0));

The goal is to replace the solution (which is function y(x)) into the IC, and automatically replace all its derivatives and replace x by x0 then solve for _C1 from the equation that results.

Now I do this manually like this

eval(IC,[ y(x0)=eval(rhs(sol),x=x0), 
          D(y)(x0)=eval(diff(rhs(sol),x),x=x0), 
         (D@@2)(y)(x0)= eval(diff(rhs(sol),x$2),x=x0) ])

which gives

But this is too much work.

Using the other software, I can do the above much more easily like this

sol = y -> Function[{x}, Sin[x] + C[1]]
ic = a*y'[x0] + c*y[x0] == b*y0 + Exp[y''[x0]];
ic /. sol

I looked at algsubs, dchange, or making the solution as function instead, and so on but could not emulate the y -> Function[{x}, Sin[x] + C[1]] method in Maple.

What would be similar method in Maple to do the above automatically?  May be there is already builtin function in Maple?

I frequently receive this message after installing the most recent Maple update:

Can anyone help me with this? Thank you so much for your valuable support.

is it possible to collect using pattern? For example, given 

How to tell Maple to collect on  r^power terms to produce

This came up in another forum here  and using that other software, it is possible to ask collect to collect on pattern r^_

Is there a way in Maple to collect on all powers of r in the above? Here is worksheet

Download collect_using_pattern.mw

Using that other software:

In the below plot switches between to solutions of a RootOf expression when the plot range starts at zero.

plot3d on the other hand sticks to one root.

Why is that and how to get a plot starting at zero showing only one root?

Download plot_of_RootOf.mw

Hello,

I have upgraded to maple 2025, but the ui fonts are too small and very thin. I went to Files -> Options -> Interface -> Default Zoom, thet sat it up to 150%. It only changed the document area not the UI options. This solution used to work with Maple 2024. I am on ubuntu 22.04.

i did my try to sketch the best shape of graph by existing code but the 3D shape in matlab is not what i am looking and is  not intresting for this kind of plot so i want use and design a better shape of 3D plot for thus contour  i need help for that 

plot-help.mw

I do not remember if this came up before. And this is all done in code, without looking at the screen.

Given sqrt(1-cos(x)^2), Maple's simplify does not return sqrt(sin(x)^2), instead it returns ugly result csgn(sin(x))*sin(x) which is correct ofcourse, but why not just return sqrt(sin(x)^2)?  As sqrt(sin(x)^2) is much easier to read than csgn(sin(x))*sin(x).

length of sqrt(1-cos(x)^2) is 29 and length of sqrt(sin(x)^2) is 21.

What Maple simplify seems to do is simplify sqrt(1-cos(x)^2) to sqrt(sin(x)^2) internally, but instead of stopping there, it keeps going and "simplifies" sqrt(sin(x)^2)  to csgn(sin(x))*sin(x).

How to make it stop at sqrt(sin(x)^2)?

Again, this is done in code. Not interactive. code uses simplify() command on most things. 

Download simplify_dec_3_2025.mw

That other system does it better

Is it possible to make simplify do the same in Maple? 

DO not know if this is new in Maple 2025.2 or not as I have not looked yet if it is possible to install Maple 2025.1 on my new PC given Maple 2025.2 is already installed.

Found That Maple 2025.2 gives "Error, (in dsolve) numeric exception: division by zero" when asked to solve this ode using Lie symmetry.  The error comes when it tried to 

                        Computing canonical coordinates for the symmetry 

Even if this problem was in earlier Maple versions, this ofcourse should not happen.

Download division_by_zero_dsolve_maple_2025_2_on_dec_2_2025.mw

The Autumn Issue is now up, at mapletransactions.org

This issue contains two Featured Contributions; a short but very interesting one by Gilbert Labelle on a topic very dear to my own heart, and a longer and also very interesting one by Wadim Zudilin.  I asked Doron Zeilberger about Wadim's paper, and he said "this is a true gem with lots of insight and making connections between different approaches."

The "Editor's Corner" paper is a little different, this time.  This paper is largely the work of my co-author, Michelle Hatzel, extracted and revised from her Masters' thesis which she defended successfully this past August.  I hope that you find it as interesting as I did.

We have three refereed contributions, a contribution on the use of Maple Learn in teaching, and a little note on my design of the 2026 Calendar for my upcoming SIAM book with Nic Fillion, as well.  All the images for the calendar were generated in Maple (as were most of the images in the book).

It's been fun to put this issue together (with an enormous amount of help from Michelle) and I hope that you enjoy reading it.

I would also like to thank the Associate Editors who handled the refereeing: Dhavide Aruliah, David Jeffrey, and Viktor Levandovskyy.

I would like to change the document and worksheet colour in Maple 2025. I would like to darken or change the color of the icons and text in the tool bar. I have searched everywhere and can't seem to locate it. As currently configured, it is hard on the eyes; my eyesight is not the best. I beleive there is a softer yellow colour that can be picked, which I believe is called classic. Thank you

I am using Maple 2025.  I have the following in my ini file:

with(LinearAlgebra):
    with(VectorCalculus):
    with(plottools):
    with(plots):
    with(DocumentTools):
    with(Units[Simple]):
    with(StringTools):
    stoperror(all):
   interface(displayprecision = 4):
    _EnvUseHeavisideAsUnitStep := true:  
    Digits := 10:

I want to set my default number formatting to "Engineering."  I cannot find where or how to do this, either in the menues or the an ini file command.  I can do it in the context panel line by line, but want it to be global and automatic.

Thanks in advance for your assistance.

I have an expression with y,y',y''. I found that I had to use collect first to make Maple simplifies it more.

Why is that? Is this expected?

Download why_collect_is_needed_to_simplify_more_maple_2025_2_nov_30_2025.mw

Notice how much simpler the result when doing collect first.