I'm sharing this in the hope it might help someone (my future self being the most likely). Since my suggestions are not perfect and a little messy, feel free to suggest better ways.

I spend a great deal of time tweaking my plots. Oftentimes I want to add labels to the curves right onto the plot. Most of the time it's easy to do. Occasionally I struggle. Sometimes I succeed, sometimes I give up.

Below is an example of the kind of plot I sometimes create. It's not perfect.

At any age we, being somewhat children, ask that. Here is the answer to such a question related to Maple. Let us consider the ODE

ode:=(2x^2-x-1)*y''(x)-(4x^3+x-2)*y'(x)+(4x^3+2x^2-2x+2)*y(x)=0;

and its general solution done with Maple

dsolve(ode);

y(x) = _C1*exp(x^2)+_C2*exp(x)*x.

The first thought is that Maple, mimicking the solution done by hand, finds a particular solution of the equation in the form y*(x)=exp(a*x^2+b*x). It fits...

(Presentation in Spain a month ago with a full description of the project and its current status)

Download PhysicsProjectDescri.mw

Edgardo S. Cheb-Terrab
Physics, Maplesoft

In a webinar on July 10, 2013, I solved the related rate problem:

Helium is pumped into a spherical balloon at the constant rate of 25 cu ft per min.
At what rate is the surface area of the balloon increasing at the moment when its radius is 8 ft?

A question in the Q&A at the end of the Webinar asked if it were possible to have an animation illustrate the expanding sphere and the rate of change in the surface area thereof. 

An update to Maple 17 is now available. Maple 17.01 includes improvements to the mathematics, interface, and plotting capabilities of Maple, including:

• An expansion of the  video component to provide new start/stop time index controls and audio file support, as well as improved ability to play video files from a URL
• Extended MATLAB® connectivity to include MATLAB® R2013a
• Improvements to printing and resizing code edit regions

One of the most basic decisions a baseball manager has to make is how to arrange the batting order.  There are many heuristics and models for estimating the productivity of a given order.  My personal favourite is the use of simulation, but by far the most elegant solution from a mathematical perspective uses probability matrices and Markov chains.  An excellent treatment of this topic can be found in Dr. Joel S. Sokol's article,

We have just released a new, more powerful version of the Maple Global Optimization Toolbox.  

For this new release, Maplesoft has partnered with Noesis Solutions to develop a new version of the Maple Global Optimization Toolbox that is powered by Optimus technology. Optimus, from Noesis Solutions, is a platform for simulation process integration and design optimization that includes powerful optimization algorithms. This advanced technology is now available...

As described on the help page ?updates,Maple17,Performance, Maple 17 uses a new data structure for polynomials with integer coefficients. Our goal was to improve the performance and parallel speedup of polynomial algorithms that underpin much of the system and create a platform for large scale polynomial computations. Shown below is the new representation for 9xy³z

Just wanted to let everyone know that the fix provided for the plotting problem discussed here is now available as a Maple 16.02a update.  This update will be available through Check for Updates and through the Maple 16.02a download page.

eithne

MapleSim 6.1 is now available.  MapleSim 6.1 provides improved performance, more tools for programmatic analysis and custom components, connectivity enhancements, and more.  Here’s a sampling:

• For all models, the model pre-processing phase is more efficient, so your simulation results appear sooner.
• New API commands make it easier to analyze the parameters in your model programmatically. These commands can take advantage of the full...

Consider a signal which is a real sine series, f(x)=2*sin(2*Pi*x) + 5*sin(2*Pi*6*x) + 9*sin(2*Pi*11*x).

Let F(w) be its Fourier transform. Answer F(w) is purely complex and expressed in terms of symbol Dirac.

Maple "plot" fails.

Plots of impulse trains like F(w)=sqrt(Pi)*I*(2*Dirac(w-Pi)+4*Dirac(w-4*Pi)) involve user intervention. Maple won't plot such expressions, because they are DISTRIBUTIONS (not FUNCTIONS).

Try plotting F(w) to see the engine's uninformative error message....

I'm branching-off because I can't currently add a comment to the OP nor a reply to the follow-up messages (mapleprimes update bug so far confirmed with Opera, Firefox, and Chrome on both Windows7x64 and kUbuntu12). Mapleprimes administrators: feel free to move this post to where it belongs.

I think this is an awesome demonstration of Maple's plotting abilities. The first thing that comes to mind is that this worksheet could be used to promote the new Maple Player. 

Maple 17 adds several new visualizations in Graph Theory as well as updates to inequality plotting and visualizing branch cuts in mathematical expressions.  In preparing the “what’s new” pages for Maple 17, we decided to showcase several of these plots alongside some of our other favourites.

The following file contains code to create most of the “what’s new” plots, as well as some quick tips and techniques for using the ColorTools package to enhance your plots:...

In Maple 17, the Student MultivariateCalculus package has been augmented with fifteen new commands relevant for defining and manipulating lines and planes. There already exists a functionality for this in the geom3d package whose structures differ from those in the new Student packages. Students...

I present this proof-in-Maple not just for its own sake, but because I think that it illustrates effective techniques for working with complicated algebraic numbers.