I have the following differential equation:

de1:=(v(r)^2*(diff(T(r),r)/(1+T(r)^2)+T(r)/r)-T(r))*(v(r)^2*(diff(T(r),r)/(1+T(r)^2)+T(r)/r)+T(r))=(1+v(r)*diff(v(r),r))*(1-v(r)*diff(v(r),r));

I would like to be able to eliminate T' and obtain T as a function of r, v(r), and v' (and possibly v'').

Is this possible?

Thanks, Geoff

I am having a problem working with a slider and a plot component in Maple 14. The slider specifies the domain of an animation I am trying to show. Whenever the slider's value is changed, I have code that should change the plot property "play" to "true" so that the animation begins. However, it fails to play the animation. After some troubleshooting, I found that the exact same code works in a Toggle Button component, and I also discovered that the Slider...

There is a probem in the Optimization package's (nonlinear programming problem) NLPSolve routine which affects multivariate problems given in so-called Operator form. That is, when the objective and constraints are not provided as expressions. Below is a workaround for this.

Usually, an objective (or constraint) gets processed by Optimization using automatic differentiation tools ...

Hi there. I have two expressions of type Matrix(7x1), one I entered directly and the other one is the result of a  procedure calling. They only differ by the term [1,1], so when I do a comparation of the appropiate submatrix using Equal I get a positive answer:

>Equal(SubMatrix(atataaV(1,1,1,1,u1),2..-1,1),SubMatrix(u1,2..-1,1));

true

Now, the elements of the submatrices depend on the symbol 'n',...

I'm brand new to Maple. How can I plot the Gammafunction with real numbers (not in N and C)?

I can only plot the Gammafunction in the complex plane by using the following:

with(plots);

f:=z->GAMMA(z);

complexplot3d(f);

Is it also possible to plot the Betafunction B(a,b):=int(t^(a-1)*(1-t)^(b-1),t=0..1) in such a way that I can assign special values to a and b?

These solutions will help me so much....Thank you for your answer!!!

I often run into this problem. Say I have defined a new variable in terms of some old variables:

     Eq1 := NewVar = OldVar1 + OldVar2

Then suppose I have an expression in terms of the old variables:

     Eq2 := OldVar6 * OldVar5 = OldVar3 * (OldVar1 + OldVar2)

If I want to substitute Eq1 into Eq2 I have to either type

     subs(OldVar1 + OldVar2 = NewVar1, Eq2)

or I can do this

Hi,
I need your help for this problem, please.

$\mathop  {\sum {...\sum }}\limits_{z_r \in {Q_{2}^{*}}}$ such that

$Q_{2}^{*}=((z_1,...,z_r):z_{j}=0,1,\sum_{j=1}^{r}z_{j}=\ell)$, where $\ell = 0, 1, . . . , r$.

For example. If r=3, $\ell=1$; then we are looking for triples with elements 0's or 1's and sum to 1 i.e. $Q_{2}^{*}={(0,0,1),(0,1,0),(1,0,0)}$. So we would like to sum over theses $z_r$'s.

I appreciate your help.
Hasan

If I was working for MapleSoft and I wanted to make sure that
Maple would become the best mathematics software in the world
the first thing I would look at would be my competitors.

I had a look at Mathematica's website and their marketing outline
some some very cool functionality that speak to my heart directly.
1) Integrated datasources  2) real time data analysis etc etc

I dont really like Mathematica due to their retarded programming

An interesting discussion on rule-based integration and a new symbolic computer algebra package for it, named Rubi is ongoing in this long usenet thread.

(The Rubi link above seems to work ok, although the link in the top article of that usenet thread may not. YMMV.)

There's also some interesting subtext related to how practical developments in computer algebra systems can come about.

Is it possible to switch between worksheet mode and document mode? If yes, how?

I want to compute expected utilities, i.e. I have a random variable and a utility function, e.g.

with(Statistics);

X:=RandomVariable(Normal(mu,sigma));

u:=t->1-exp(-phi*t);

and now I want to compute the expected utility, i.e.:

When Maple displays the results of a do-loop, it usually assigns only one label (e.g. '(2.1)') to the whole bunch of results.

Is there a way to have Maple assign a label to each expression resulting from some do-loop commands?

I refer to a specific solution using the label. I get two equations after using solve, and I want to introduce them in another system to solve applied again.

Please explain me why it happens:

with(LinearAlgebra);

MatrixInverse(`<|>`(`<,>`(a, c), `<,>`(b, d)));

Error, MatrixInverse is not a command in the LinearAlgebra package

WHY? Whats wrong, please explain me?