Dear Forum,

I have a rational transfer function, like

Y(s)/X(s)=G(s)=(s^2+s+1)/(s^3-3*s^2+5)

With the DynamicSystems package, Maple can compute a state space representation, but I want a single DEQ in y(t) of 3rd order. What is the best way to let Maple compute this?

I wrote the following MAPLE code

restart; N := 2

alias(epsilon = e, eta = t)

eq1 := 5*(diff(F(t), `$`(t, 3)))+(1+3*e)*F(t)*(diff(F(t), `$`(t, 2)))-(2+e)*(diff(F(t), t))^2 = 0

F := proc (t) options operator, arrow; sum('F[i](t)*e^i', 'i' = 0 .. N) end proc

deqn := simplify(collect(eq1, e), {e^(N+1) = 0})

MAPLE says

Error, (in sum) too many levels of recursion

How do I get this error corrected?

I am having trouble identifying all the possible roots existing in the range specified.

In the file attached i have a non-linear set of equations that are solved for "w" value specified...but fsolve provides solutions only at certain values of "w" , does it mean there is no solution for other data points ?...or is there a way to find out all possible solutions for each value of "w"

Question_primes.mw

I have an electric field as a function of time and space.It is a uniform plane wave.

E(r,t)= 3*cos(w*t-k*z+Pi/4)x+ 2*sin(w*t-k*z-Pi/3)y

where r is the space vector r=xx+yy+zz; 

x   y and z are unit vectors.

w and k are constants.

How can I plot it?

Please write a code for me about following problem.

Let A(0,1,2) be a point and two lines

d1: x/2 = (y-1)/1 = (z+1)/(-1)

d2: x = 1 + t, y = -1 + 2t, 2 + t.

Find the coordinates of the 

Let a list of n positive integers be given, e. g. [2,1,4].
Let us consider all sums of  all its members signed by +-, e. g
-2-1-4=-7, -2+1-4=-5, -2-1+4=1, ... .
How to find the sum having the minimum  absolute value with Maple?

Write the equation for the plane P contains the straight line 

d: x = 2 + t, y = t, z = 2 + 2t,

so that, the distance  

Problem: Write the equation of the straight line (d) through the point A(1,-2,3), cut the straight line 

Delta: x = 3*t+1, y = t, z = t-1 and parallel to the plane (P): x + 2*y + 3*z + 4 = 0.

We know that, if the straight line (d) through the point A and parallel to the plane (P), then (d) lies on a plane (Q), which (Q) through the point A and parallel to the plane (P).

i need to write a program for my calculator to solve these eqution 

Vr =any number i enter it

Ir =any number i enter it

L= any number i enter it 

Z= any number i enter it

Y=any number i enter it

w=sqr (ZxY)

Zc= sqr (Z\Y)

A=D= cosh wL

B=Zc sinh wL

C= (1\Zc) sinh wL

Vs = AxVr + BxIr

Is = CxVr + DxIr

Vs= the number we get from the Vs eqution 

Ir = the...

Here is a simple example from the Maple Help (nersion 9.03):
###
i := 5; cat( "The value of i is ", i, "." );
###
which yields
  "The value of i is 5."

I would like to use the same syntax to generate a string to be printed at the beginning of a data file (so that I can remember what are the figures in the files); for instance I want to specify that this set has been generated choosing the value of a parameter alpha to be 0.618. So I write

Write the equation of a pane (P) which passes through the point E(2,1,0) and F(1,2,1) such that distance from the point A(1,-2,-1) to the plane (P) twice distance from the point B(2,4,3) to the plane (P).

My main idea is based on, if the line (d) passes through...

is(sum( (1+i)^(k-1), k = 1 .. 8) = sum( (1+i)^(k-1), k = 8 .. 1))
                                                       false

Is that a bug in sum that got fixed in a newer Maple or maybe I missed something?...

Dear All,

I am trying to solve the following equation in Maple but could not find the actual result:

P:=1/2 * Real (E x H*)

How to find the real value of (E x H) with H*= H conjugate.   And also which command to solve for the value P.

Your help will really be appreciated

Thanks in advance

A.Q

Soton

Please write for me a proceduce in order to write the eqution of the common perpendicular to the two skewline 

d: x = 3*t - 7, y = -2*t +4, z = 3*t + 4 and

l: x = m + 1, y = 2m - 9, z = -m - 12.

I did:

with(geom3d);

line(d,[3*t-7,-2*t+4,3*t+4],t);

line(l,[m + 1,2*m - 9, - m - 12],m);

u:=ParallelVector(d);

v:=ParallelVector(l);

with(linalg);

w:=crossprod(u,v);

a:=crossprod(u,w);

Something simple enough, I want show (g^n) / (g^n -1) = 1 / 1 - g^(-n) step by step in maple. 

The problem I'm having is getting maple to freeze the terms.  Maple likes to simplify before I can have it do what I want.  I suppose I could make everything a name and show it manually but I would like to force maple to do it. 

first setting

h:=g^n/(g^n-1)

so first multiply the numerator and denominator by g^(-n)