1-x  1 3

1 5-x 1

3 1 1-x

## Differentiating output of dsolve...

Good Day!

I numerically solved a system of ODEs with dsolve for the functions p(x) and q(x) over the domain x=[-1,+1].  Boundary conditions are specified at x=-1 and x=+1.  The output is a listprocedure.

I want to determine the n-th derivatives of p(x) and q(x) at x=0.  Alternatively, I want the power series representation of p(x) and q(x) about x=0.

I would appreciate any advice on how to use Maple 10 to accomplish this.

Thanks.

Glenn

## Groups built-ins...

Hi I'm looking for a way to represent groups in Maple.  I have looked at the groups package, and still don't know how to deal with cyclic groups, or how to deal with elements of a group.  Note, I think I know how to do these things for permutation groups but what if I want to do it with a different group, like Z3. I really appreciate any help you can give me, thank you.

## Cool...

In 90's Maple was cool. Such things as fi, od, op, nops etc. were cool. They attracted many geeks.

LinearAlgebra:-LA_Main:-ReducedRowEchelonForm, end if, end do, and even ArrayNumElems  are not cool. That may be the reason, together with new Java interface (extremely not cool) why Maple stopped being cool in 2000's.

Alec

## maple default dirs...

Hello, can anybody explain-me (or give-me a link about) the Maple default directory configuration. Specially the signification and difference between the terms: currentdir homedir (in kernelopts) UserDirectory (in maplesys.ini file) Thank-you

## Integral...

ok just trying to integrat something here

-[(tan(theta)) dtheta]/[sec(theta) (2cos(theta)-1)^(0.5) (1-cos(theta))] = (sqrt(Mgh/A)) t

and get to sec(theta) = 1 + sech (sqrt(Mgh/A)) t

## Piecewise coding for Acceleration question...

Hello,

I have a simple acceleration/position problem that I can't figure out how to use piecewise to put into Maple --- can anyone assist?

## Adding dependencies to a defined variable...

Can we define dependencies of a variable after using the variable? For example, let us take,

f:=2*T+x^2;

Here, T has no dependencies. What should we do to make it dependent of x and y without redefining the whole thing as f:=2*T(x,y)+x^2;

and, can we do this for a whole matrix or vector?

## simplification of expressions involving wedge prod...

Let us say that we have a code shown below:

restart:
with(DifferentialGeometry):
DGsetup([x,y],M):
e[1]:=A*ExteriorDerivative(x);
e[2]:=A*ExteriorDerivative(y);
simplify(e[1] &wedge e[1]+e[1] &wedge e[2]);

the output of this code is

## eps figures without external frames...

How do I can generate eps figure from my maple calculation, in which expernal rectangular frame (solid lines) does not appear. I generate successfully the eps but I cannot remove the frame.

## Get Maple To Check Diff Eqn...

ok so i have the differnetial equation

$\lambda^{2} (\frac{dx}{dt})^{2} = (cos{ \alpha} - x)(cos{ \beta} - x)$

where $x = cos{ \theta}$

and the solution is

$x = cos{ \alpha} sin^{2}{\frac{t}{2 \lambda}} + cos{ \beta} cos^{2}{\frac{t}{2 \lambda}}$

please show you're working cos that's where im getting lost

now i want to use maple to show this is the solution to the eqn.

how do i do this???

## An multivariate inequality...

Hi to all,

I need to verify an multivariate equality in maple, here it goes:

Nr := 3 - cos(x - y) - cos( z - x) - cos(y - z);

Dr := (sin(x/2))^2 +  (sin(y/2))^2 + (sin(z/2))^2;

assume(x>0, x<Pi); assume(y>0,y<Pi); assume(z>0,z<Pi);

eqn := Nr/Dr;

I need to check whether eqn <= 6. I have tried

is(eqn > 6)  and is(eqn <=6) and both give FAIL as output. But if I change the denominator, Dr say Dr := Dr + 6;

Dear all:

## help in solving 4th order ODE with boundary condit...

hi!

I am trying to solve an ODE for w(x);

E - a parameter
MI - a parameter
w(x) - Transverse deflection
q(x) - Transverse force on the beam with respect to x
G - a parameter
A - a parameter
ap - a parameter
si - a parameter
mysol1 - differential equation to be solved with boundary conditions (bc1,bc2,bc3 and bc4) applied