## BesselJ Integration...

I am trying to integrate the following expression in Maple. It produces the correct result, but not in the format that I want.

BesselProblem := BesselJ(0, BesselJZeros(0, 1)*r)*BesselJ(2, BesselJZeros(0, 1)*r)*r^3;

int(BesselProblem, r = 0 .. 1);

returns the expression

## Help on linearizing a system......

Hi everyone,

I've been able to generate equations of motion for my system. I want to linearize the obtained equations. How to do it? I've been trying to find some example on it, however, haven't been lucky as yet. Can anyone please help me with this? Anticipating a quick reply!

Regards,

Moazzam

## Warning: Warning, solutions may have been lost...

i have a problem in resolving this 5 equations eqn1 := (product(1-tau(i), i = 1 .. 4).delta.Delta.tau(0))*(1+(1/16)*(sum((16-j+1)/(g(0))(j), j = 1 .. 16))+(1-product(1-tau(i), i = 1 .. 4).delta.Delta).(1+(1/16)*(sum((16-j+1)/(g(0))(j), j = 1 .. 16)))+(1-product(1-tau(i), i = 1 .. 4).delta.Delta)^2.(1+(1/32)*(sum((32-j+1)/(g(0))(j), j = 1 .. 32)))+(1-product(1-tau(i), i = 1 .. 4).delta.Delta)^3.(1+(1/32)*(sum((32-j+1)/(g(0))(j), j = 1 .. 32)))+(1-product(1-tau(i), i = 1 .. 4...

## plotting a function from a procedure...

I wrote the procedure below and i want to plot on one graph for the range lambda = 0 to 60 (x-axis),  beta = 0, beta = 5, beta =10, beta = 15, beta = 20 etc.

in other words i want to plot Cp vs lambda at different beta values

Can any one assist me in doing this.

_______________________________________________________________________

Cplot := proc (beta, lambda)

local lambda0, Cp;

lambda0 := 0.22e-1*beta^2+(7/1000000000000000)*beta+5.6;

## Dsolve---finding a time value for a specific varia...

Okay, so I think this is simple, but I cannot find the command.

I get a numeric solution for a system of ODEs, with variables a function of t. Now, I know I can use the sol(t) command to give me the values of my variables at specific values of t. But, how do I get the values of t for specific variable values. There has to be a more efficient way than just plugging in values for t until I come to the answer.

Thanks!

Hi,

I'm currently having some issues while trying to find a way of getting the CPU usage inside Maple.

Is there any existing Maple function that will return the percetage of the CPU usage ?

## Simple polynomial command?...

Basically I'd just like to know how to get x to temporarily equal a specified value, i.e:

if T[2]=(2x^2)-1

how do I find T[2] is x=2?

Thanks for any replies

## How do i solve this list...

I have Zipped 2 equations together to equate their equivalent Coefficients.  I now need to assign solve the list fot each value of N (1...9) How do I get Maple to do this reliably for the list as N 1..9 does not necessarily occour in sequence.

## AutoCorrelation Maple vs MatLab...

what is the difference between the autocorrelation function of Maple and MatLab function xcorr?

> N := 1024;
> f1 := 1;
> FS := 200;
> n := Vector([`\$`(0 .. N-1)]);
> x := evalf(`~`[sin](2*Pi*f1*n/FS));
> t := Vector([`\$`(1 .. N)]/FS);
> plot(t, x, axes = box, gridlines, color = blue, title = "Sinwave of frequency 1000Hz [FS=8000Hz]", labels = ["Time, [s]",

"Amplitude"], labeldirections = ["horizontal", "vertical"]);

## MAJOR problem with precision in MAPLE do loops...

Dear Maple Specialists,

I deal with a major MAPLE problem the last months of my PhD.

PROBLEM:
My programm contains a do loop which calculates for given PsiS (purple color) and for a range of Psi1 and Psi2 (blue color) from PsiS to 0, values for the products Qsu1, Qsu2, Qtot .
The aim to calculate w(RLZ) which is obtained when the blue color loop is completed and Psi2 takes the final value 0.

## `evalf/int`, "external hardware float library coul...

After first tests with my brandnew Maple 16 (64bit) installation on Ubuntu Linux (12.04 Ubuntu Precise) I encountered the following error:

`evalf/int`, "external hardware float library could not be found/used"

when I run e.g.

evalf(Int(BesselJ(3,x),x=1..13,digits = 4,method = _d01ajc));

with OpenMaple

I wonder how to fix it.

I have

export MAPLE=...

and

export LD_LIBRARY_PATH=......

## How to use proc...

Hi, i am learning how to use "proc", could you please help me with this?

Case 1:

ReturnInteger:=proc(x,y,z)::integer;
g:=3+y;
x^2-g;
end proc:

ReturnInteger(3,2,4)

Case 2: How do I have a few outputs at a time?

Outp:=proc(x,y,z)::integer;
x^4+3
x+3*y;
y+z;
end proc:

Outp(3,4,2)

I am looking for it to produce 3 answers.

Question 3, when i took away the "::integer", it still works. May I know...

## How to calculate difference of two sums algebraica...

Dear Maple Users

I wonder if and how I can use Maple to calculate the difference of two sums algebraically, meaning if I dont have an explicit expression for the range of the sum. Rather, I want to calculate

Sum(i, i=0..N) - Sum(i, i=0..N, i!=k);

which should, obviously return k.

Is it possible to evaluate such an expression, and more advanced cases, using Maple?
Thanks for hints.

## ODE Plot multiple plots...

Hi all,

I am trying to plot multiple ODE plots in Maple 16. I can do them all separately, but cannot figure out how to make to solutions appear in the same plot. I have numeric solutions for sol1 and sol2, and I want to plot A(t), t for each one (together).

Thanks for the help!