## System of ODEs...I have a problem......

Hi I have a problem in solving a system of odes with maple,here is a capture(jpg) of my program in maple, http://beta.mapleprimes.com/files/1709_sysode.JPG how can I solve that error? Tanx.

## Some Questions Relating to Working with ODE's...

I had three questions, but two were about series solutions to linear ode's, and I just discovered the wonderful Slode package...I learn something new about Maple every single day! I still have one question though... In the help page for the laplace command in the inttrans package, it is indicated that, when transforming ordinary differential equations, initial values can be set and incorporated into the transform, but I haven't figured out exactly how to do this, and I didn't find anything else on the help page. Thanks a lot for any suggestions!

## axes on 2D plot...

I would like to have labeled axes on all four sides of my 2D plot. I can get them on the right and bottom using axes=normal. I can also get them on the left and bottom using axes=boxed or axes=framed. But I can't get the axes on the top of the plot to show up. Any suggestions?

## Matrix - gcd, lcm...

Hello, I have a matrix (not Matrix) say A = [D+D^2 D^2 D ] [ ] [1 (D+D^2)/(1+D) D/(1+D)] I want to form a matrix B from A such that i_th row of B = i_th row of A * (lcm(i_th row of A) / gcd(i_th row of A) ) How can I get this done ? Regards, Iyer

## grobner in a non commutrative ring...

I want to solve an algebraic system in a non commutative ring: for example {x1+x2+x3=a,x1^2+x2^2+x3^2=b,x1^3+x2^3+x3^3=c}. Can I find a Grobner basis with Maple 10 or with another software (under windows)?????? Thanks.

## ARROWS on a plot...

I know how to make my linestyle into DASH, DASHDOT, etc. But I am trying to an ARROw along my curve. Does anyone know how to achieve this? I have several solution curves to an ODE on the same plot, and they all converge to one line. I would like to have arrows on each of the curves to show that they all converge into this one curve. Any help is appreciated.

## polynomialinterpolation giving different results s...

intf12 := CurveFitting[PolynomialInterpolation](testfile[1..-1,1..2],z): eval(intf12, z=1); 54 0.1211007603 10 intf12 := CurveFitting[PolynomialInterpolation](testfile[1..-1,1..2],x): eval(intf12, x=1); 53 0.8 10 The only thing I changed was the variable from 'z' to 'x' I tried other names and they also gave me different answers once I evaluated. Is this a bug, known or unknown? Why would simply changing the variable name change the resulting equation?

## How to feed output of implicitplot into another fu...

I'd like to know how to accomplish the following:

I have an implicit equation f(u,v)=0, which maple will happily plot using implicitplot. I would now like to feed the
solution pairs (u,v) into another function g(u,v). How do I extract the solution points from the output of implicitplot and feed them into g(u,v). Let's assume that maple cannot find a closed form expression for v in terms of u (or vice versa) in f(u,v)=0.

Basically, I just want to retrieve the point pairs that make up the curve of f(u,v)=0 and evaluate g along that curve.

## Where do you create your Maplets?...

I have only used the GUI components in Document Mode, so I suppose that is where I've created my Maplets...I was wondering if there was another place for creating them, like some sort of stand-alone Maplet platform, or if they had to be embedded in a Maple Document or Worksheet. Thanks a lot.

## Maple 10 installation on a Mac OS10.3.9...

I am installing Maple 10 onto a Mac OS10.3.9 and as soon as I enter my administrative password, the installer dies, and the installation doesn't complete. I have successfully installed Maple 10 on OS10.4. Is there anything I'm doing wrong or any ideas what to check for????? Thanks!!! Lab Manager

## partial differentiation...

I was wondering if maple can compute partial derivatives. Suppose i have the the function z=a*f(x)+b*g(y)+c*x+d*y, can i obtain the partial derivative dz/df(x)=a, or the PARTIAL derivative dz/dx=c. diff(z,x); only seems to give the total derivative: dz/dx=df(x)/dx+c; Hope anyone can help, thanx Rick

## Argument extraction...

Hello, Can someone tell me how to extract the argument of a function like this (assuming theta is real): u:=exp(I*theta); I tried argument(u); with no success I also tried to capture the parameter passed to the exp function like this: subsindets(u,'specfunc(anything,exp)', f->subsop(0=exparg,f)); exparg is a simple function that returns the imaginary part of its argument. It works well but fails for variables like this: v:=I*exp(I*theta); I would expect the answer to be theta+Pi/2 but my function return theta only!