i don't know much about maple, i need to solve the following odes system... I study a little on the help page of maple about numeric[midrich] that takes bvp and deal singularity as well but dint know how to used in the following system

odes.mw

I use pdsolve to solve this system of equation but the graph I have is different from the author's graph. I think I'm missing out on something. Can anyone help me out with the solution using any Maple command and module.

PDE := {diff(phi(x, t), t) = (diff(phi(x, t), x, x))/S__c-K__r*phi(x, t)+S__r*(diff(theta(x, t), x, x)), diff(u(x, t), t) = diff(u(x, t), x, x)-M^2*(u(x, t)-m*w(x, t))/(m^2+1)-u(x, t)/`ϰ`-2*Omega^2*w(x, t)+Gr*theta(x, t)+Gm*phi(x, t), diff(w(x, t), t) = diff(w(x, t), x, x)+M^2*(m*u(x, t)-w(x, t))/(m^2+1)-w(x, t)/`ϰ`+2*Omega^2*u(x, t), diff(theta(x, t), t) = lambda*(diff(theta(x, t), x, x))/P__r}

With Inittial and boundary condition : {phi(0, t) = 1, phi(9, t) = 0, phi(x, 0) = 0, u(0, t) = t, u(9, t) = 0, u(x, 0) = 0, w(0, t) = 0, w(9, t) = 0, w(x, 0) = 0, theta(0, t) = 1, theta(9, t) = 0, theta(x, 0) = 0}

With the following parameter declared as:

I will appreciate the graph of the solution with time t:0.3, 0.5, 0.7 and 1.0.

Thanks.

When trying to perform the following:

p1 := proc (x, y) if x^2+y^2 <= 1 then x*y-y^2 else 0 end if end proc;
plot3d(p1, x = -1 .. 1, y = -1 .. 1);
Error, (in plot3d) expected ranges but received x = -1 .. 1 and y = -1 .. 1
 

I get this strange error message. To the best of my knowledge x and y ARE provided as ranges. What am I missing/not understanding?

If I omit the ranges in plot3d Maple returns a correct plot, but the default range (-10 .. 10) does not display sufficient details

This is what I'm trying to solve:

I literally just want it to plug in those values for n and spit out a value. This is easy enough for me to do by hand, but I obviously wanted to speed up the process by doing it with Maple. What's wrong here? I clicked the pink links and that didn't help.

I'm going back over QM homeworks to study for an exam. We're allowed to use Maple on our exam so I want to be sure I'm prepared for that part. I have the solution to a problem I'm working on, but I can't get Maple to simplify it how I want it.

Is that simplification something that Maple should be able to do or is it something I would need to know how to do because Maple isn't capable? (I assume it is.)

Thanks!

........................................................................................................................

Hello!

I am trying to solve several equations for some mechanics problem.
I made the following lines with variables: Az, Bz, Dz, Dx, Ma.
The equations are showed in the image below. I can use either Md equation or Mb to solve the problem, but using both is not allowed. I tried to solve the equations with the solve function, but cant find any answer though there should be?

Thank you in advance :)

I'd like to make a graph like the below. So I know that using the display command and putting graphs in matrix form produces something similar (display(<graph1|graph2|graph3>), however it doesn't allow me to export it as one graph. Any ideas?

Hello folks, i recently had really confusing times when i plotted the function (x^(5/3)-5*x^(2/3)) in maple 2016. I know how this graph looks like as i have it printed in my undergraduate textbook. But in maple i'm not getting function(above given) values plotted for negative numbers. When i evaluate the function for x=-1 i'm getting some complex numbers, when i'm supposed to have simply -6. Could anybody tell me what's going on?

I'm looking to leanr the sign and to simplify a very long expression , how can i do this ? can anyone help me thank you in a

advance.

I have attached the problem here. I need to say sorry, because I did not provide the whole code. So, automatically It will be error if you execute it.

If you see the attachement, you will see "Result_Eva_GB_X2[3] := []". It makes a problem if I want to make comparison. So I want the result of "Result_Eva_GB_X2[3] := []" is [0].

Actually the result of Result_Eva_GB_X2[3] := [] is complex number, because I did not want the complex I made select(x->is(0<x<1)....) to eliminate the complex number and negative result. So the question is How do I make the result of Result_Eva_GB_X2[3] := [] is [0]?

I have tried to add "Selection Statement (if)" (If the result is Undefined ([]) then Result_Eva_GB_X2[3] := [0]) But it can not work. Or maybe the selection statement that I made was wrong.

Please Help me. Thank You very much

2Ask.mw

How can I find the numeric value of this PDE:

Where

I want the numeric values i.e theta(2,2) , theta (1,3) and the likes.

Is Symbolic Laplace and Inverse Laplace transform possible on Maple? if Yes, how do I find the inverse laplace of this function 

Thanks.

Respected member!
Please help me to find the solution of attached problem, I am a new user so pleaes forgive any mistakes.
 

Download mplprimes.mw

Last week Michael Pisapia, Maplesoft European VP, attended the opening reception of Mathematics: The Winton Gallery at the Science Museum in London. Ahead of being open to the public on 8^th December, contributors and donors were invited to take a look behind the scenes of the new gallery, which explores how mathematicians, their tools and ideas have helped to shape the modern world over the last four hundred years.

The gallery is a spectacular space, designed by the world-renowned Zaha Hadid Architects, housing over a hundred artefacts of mathematical origin or significance. It is divided up into disciplines ranging from navigation to risk assessment, and gambling to architecture. Inspired by the Handley Page aircraft, the largest object on display, and suspended as the centrepiece, the gallery is laid out using principles of mathematics and physics. It follows the lines of airflow around it in a stunning display of imagined aerodynamics, brought to life using light and sculpture. You can learn more about its design in this video.

Guests at the reception enjoyed a specially commissioned piece of music from the Royal College of Music titled ‘Gugnunc’, named after the aircraft and inspired by the rhythms of Morse code and mathematical and mechanical processes, and performed at the centre of the gallery.

Of course any exhibit celebrating all things maths is of great interest to us here at Maplesoft, but this one especially so, since Mathematics: The Winton Gallery showcases the earliest available version of Maple.

A copy of Maple V, from 1997, sits in ‘The Power of Computers’ section of the Winton Gallery, in an exhibit which tells the story of the significant role played by mathematical software in improving the quality of mathematics education and research. Other objects in the section include a Calculating Machine from the Scientific Service circa 1939, a PDP-8 minicomputer from the 1960s, and part of Charles Babbage’s mid-19^th century analytical engine, intended as a high-powered mathematical calculator.

As many of you will remember, Maple V was a major milestone in the history of Maple, providing unparalleled interactivity, powerful symbolics and creative visualization in mathematical computation and modeling. For a walk down memory lane, check out Maple V: The Future of Mathematics (ca. 1994) on YouTube.

Seeing this copy of Maple finally in place in the exhibit marks the end of a long journey – and not just in the miles it travelled to arrive at the museum from its home in Canada. When we were first approached by the Science Museum for a donation of Maple, we launched a hunt to find not just the right copy of Maple with its box and manuals, but also artefacts that showcased the origin and history of Maple. It was a journey down memory lane for the inventors of Maple as well as the first few employees as they dug out old correspondences, photos, posters and other memorabilia that could be showcased. Today they can be proud of their contribution to this display at the Science Museum. 

Although the case of historic software packages is visually less impressive than many of the other items in the gallery, it certainly attracted plenty of attention as guests made their way in for the first time. 

For fans of Maple V - and there are many - it’s reassuring that the Science Museum are now entrusted with preserving not only the iconic packaging, but with telling the story of Maple’s history and marking its place in the evolution of mathematics and technology.

To learn more about Mathematics: The Winton Gallery, its highlights and architecture, visit http://www.sciencemuseum.org.uk/mathematics

To see the timeline of Maple’s evolution over the years, visit:  http://www.maplesoft.com/25anniversary/