Does the current implementation of Maple has any any command to characterize the solution of a linear PDE system with m unknows (functions) and n variables?

I need a command that receives as input the PDE system and tells the nature of the solutions: k0 constants, k1 functions of 1 variable, k2 functions of 2 variables, ... , kn functions of n variables. I think mathematicians call this the Cartan character of the system (I am an economist).

I was reading and...

Hi,

I'm running a 2D parameter sweep from Maple 15 on a MapleSim 5 model. The output is stored in a 2D matrix.  I've encountered two problems:

1) when I graph it with matrixplot the z-axis values are fine but I can't figure out how to change the x-axis and y-axis values from the matrix indices to the actual values of the swept parameters. 

2) When the parameter sweep begins I get a warning about storing the values in a matrix.  Maple...

Hi all,

I have a large equation where i need to substitute a part by omega but it doesn't work.
To illustrate the problem i uploaded a simplified program showing the same problem.
I know i can do it manually but since i have a lot of these substitutions I would like to do it automatically...

thanks in advance!

 
In the simple equation f I want to substitute the sqrt(g)*sqrt(m+M)/(M^(3/2)*sqrt(l) by omega so the function becomes cos(omega*t)

x = a*(3*cos(t) - cos(3*t))
y = a*(3*sin(t) - sin(3*t))

is there a library or function to convert above parametric equations into one equation in terms of x and y?

sys := x = a*(3*cos(t) - cos(3*t));
k := solve(sys, t);
simplify(subs(t=k[1], y = a*(3*sin(t) - sin(3*t))));

any simpler form?

Howdy

would like to know how to generate alternating series.

eg, we have an infinite (large number) number of coins all Heads up.

seq(H,i=100)=HHHHHHHHH.......

Now we flip every 2nd coin (to tails), eg HTHTHT.......

then flip every 3rd coin, eg HTTTHH........

what does it coverge to or does it....?

How to simulate this in maple?

I guess we could also use binary code.

I have equations of the form x=max( f(x,u,E) ), where x is the unknown "variable" to solve for, where u is the "control" variable that can be selected to maximize f, and where E is a parameter. These are all real, positive scalars on [0,1].

One of my objectives is to plot x against E, for those values of u that solve the maximization. In my problem, the optimal values of u are expected to be unique for a given value of E.

My approach was to define...

hi,
how we get exact solution of the given system of equations correspond to boundary conditions.
and how we can plot its solution?
>restart;
with(DEtools);

ode:=[(diff(f(eta), eta$3))+beta*((diff(f(eta), eta$2))^2-f(eta)*(diff(f(eta), eta$4)))+(1+lambda)*(f(eta)*(diff(f(eta), eta$2))-(diff(f(eta), eta))^2)= 0,diff(theta(eta),eta$2)+pr*(f(eta)*diff(theta(eta),eta)+Nb*diff(theta(eta),eta$1)*diff(phi(eta),eta$1)+Nt*diff(theta(eta),eta)^2)=0,diff(phi(eta...

assuming the skier is projected at an angle theta with respect to the horizontal over a landing incline sloped with an arbitrary angle phi :

xf = (vi*cos(theta)*t=d*cos(phi)

yf=(vi*sin(theta)*t-1/2*g*t^2=-d*sin(phi)

By eliminating the time t between these two equations and using differentiation to maximize d in terms of theta,

we should arrive at the following equation for the angle theta that gives the maximum value of d :

theta = 45° -phi/2  (Answer from a text book)

How can I handle that problem about ski jump with MAPLE  ?

In the Signal Processing Webinar there existed a few worksheets I would like to request,

Ultrasound Transmission through a Band Gap Medium + xls data
Coded Excitation Signal analysis
Acoustic Scattering

If anyone would be so kind to provide these worksheets?

Dear Sirs,

I am a post-doc working on the university and I am dealing with elliptic integrals together with Maple, nowadays. I am using for my computations en EllipticK(.) function and I need to know how this function computes its exact values for a given parametr of an elliptic modulus. Does it use some kind of a series(how does it pertinently look like?) or is it tabelated and consequently interpolated? Please, will you be so kind and could you give...

Dear Readers,

Given an expression for e.g. x^n+ y^3.5, how to extract the symbolic/floating point exponent, I tried with degree method but it fails whenvever there is symbolic or floating point exponent. Is there any alternative ?

Thanks,

Regards, Satya

I've plotted this graph, but it's supposed to be smooth, any idea what's happened?

I'm looking for several challenging projects for a Calculus II course using Maple which I'll be teaching in Spring 2013.  By challenging I mean that the project will have several steps including both conceptual and computational aspects.  I'd also like them to be suitable for group work if possible.  I'd be willing to devote from 3-5 class periods for each of three or four different projects.  Our Calc I and Calc II are five hour...

Hello,

I'm trying to solve the effects (deflictions, tensions, etc) of a load on a timoshenko beam. It uses two partial diffential equations, wherein q is the load:

> PDE1 := kappa*G*A*(diff(y(x, t), x, x)-(diff(theta(x, t), x)))-rho*A*(diff(y(x, t), t, t))-q;

> PDE2 := E*J*(diff(theta(x, t), x, x))+kappa*G*A*(diff(y(x, t), x)-theta(x, t))-rho*J*(diff(theta(y, x), t, t));

The boundary conditions are that in the corners the moments (derative of theta...

This tutorial shows how to setup a dual-language project such as Maple/Java or Maple/C in Maple IDE. In the end of the article you can find some links for further reading.

Maple Connectivity

The integration of Maple projects with other Eclipse projects is designed for seamless development and building of your C, Fortran, or Java code for Maple using External Calling package.

Maple Project can be mixed with