How to extract affine terms from a differential equation after linearization?

Vanderpol Eqn:

To be precise, I linearized...

i use Infeld's The Factorization method and find this Hermit is type D. since not exactly match r i use R(x,m) = r(x,m) + f(m) and compare them, then find k = x but eigenfunction Y := C*exp(-int(x,x)); has constant C, range x should between negative infinity and infinity. C is 1/Pi^(1/4) after solved. i guess this is wrong, but i do not know where is wrong.

another problem is that i assume C = 1, after sum for generating function the solution is not the same as mentioned in book which is exp(2*x*z-z^2)...

Hello,

1-I have one calculation and the result is "Error, (in expand/bigprod) object too large"... What can I do with this error?

thamks alot.

Modify the shortest path problem by rewriting a procedure Path, non-Recursion
 that print out the shortest path from a to e base on the information from
 setShortestDistNode
 input:  destination "e" and setShortestDistNode
 output:  path : a -> b -> d -> e the total cost: 9
hint: copy everything that we did in shortest path problem, and rewriting a procedure Path, with while loop

I'm assuming this means this, but...

Modify the shortest path problem by rewriting a procedure Path, non-Recursion
 that print out the shortest path from a to e base on the information from 
 setShortestDistNode
 input:  destination "e" and setShortestDistNode
 output:  path : a -> b -> d -> e the total cost: 9
hint: copy everything that we did in shortest path problem, and rewriting a procedure Path, with while loop 

can...

I adopted the approach suggested in an earlier post (http://www.mapleprimes.com

/questions/137320-Plotting-A-System-Of-Ode) for the known results,

but some part of curve is missing.

The output I got is

Can I create an tensor in the Physics package in Maple 16 with a free index like i=1..N:

A[mu,1]:=A[mu]

A[mu,2]:=B[mu]

.

.

.

and so on? The index is not one of the type gauge, spacetime or spinor.

Can you expalin the difference between the gaugeindices, spinorindices,and spacetimeindices in the Physics package in Maple 16? 

Hi, I have created 2 annulus;

> display(sector([2, -5.5], 2.5 .. 3.5, (1/5)*Pi .. (1/2)*Pi, color = "Niagara Burgundy"), axes = none, scaling = constrained);
%;

> display(sector([5, -5], 1 .. 1.5, (1/5)*Pi .. 2*Pi, color = "Green"), axes = none);

But I want the green annulus to cross the Niagara Burgundy annulus at the points where the green annulus is open. The green annulus is open with an angle...

After a few steps and derived out a formula include a hypergeometric expression

hypergeom(....)

in this hypergeometric expression, there are more than two parameters in maple for example

hypergeom(X,Y,Z...)

from some paper said G(z*q; q^f)

i am not familiar with hypergeometric series

how to substitute z*q and q^f into a formula include a hypergeometric expression.

Hi, there, maple built-in help just has an example of Brusselator model in 1D case. But how can I intepreter the diffusion terms that Brusselator has in 2D case? Could you please give me an example of the code to run Brusselator simulation in 2D case?

Brusselator model:

http://hopf.chem.brandeis.edu/yanglingfa/pattern/bruss/index.html

Thank you

Kyle

Hi all. I am trying to use the Weyl character formula to evaluate some traces of Hecke operators on algebraic modular forms. This involves me having to substitute certain eigenvalues of 4x4 matrices into a polynomial of arbitrary degree (my choice).

I have created procedures that do this given the eigenvalues. Unfortunately I am having problems generating the eigenvalues.

The problem is that the matrices I am using are formed from products of matrices from two...

Hello every one,

I got an error while trying to solve numerically a nonlinear system of odes using 

the dsolve command. This error is very common,

"Error, (in dsolve/numeric/bvp) initial Newton iteration is not converging".

I tried the different technique explained in 

http://www.maplesoft.com/support/help/Maple/view...

This question was asked before but because of the curiosity, I 

bring it in the light again. We have a system of odes

restart:with(plots):

a := 1; b := .5; d := 1; omega := .4; h1 := 1+a*cos(x); h2 := -d-b*cos(x+omega);

F := Q-1-d;

de:={alpha*(diff(f(y), y, y, y, y))+G*(diff(theta(y), y, y))+B*(diff(phi(y), y, y))

+6*beta*(diff(f(y), y, y))*(diff(f(y), y, y, y))^2+3*beta*(diff(f(y), y, y, y, y))*

(diff(f(y), y, y))^2 = 0,