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I dont know what to do any further...

I have some function containing HeunG as a function

it is of the following form

f(k)=argument(functions containing HeunG) - ln(2)*k

now plotting this works...

But when differentiating with respect to k and then plotting it gives me the following message:

Warning, expecting only range variable k in expression (I*((1/2)^(1/2*I*k))^2*HeunG(3,-9/2+3/4*I*k-3/4*k^2,-1+1/2*I*k,-1/2+1/2*I*k,1/2,1+I*k,1/2...



I wrote a Maple 15 worksheet containing a function that calls two other functions defined earlier in the worksheet.  The main function didn't work, so I replaced one of the functions that was called, by cut-and-pasting its definition into the main function.  This is obviously inconvenient because I want to alter the function that I cut-and -pasted and whenever I do it I will have to cut-and-paste again.  It also detracts from the...


I have created a test document to check an equation and I would like to feed a range of k values (ranging from 0 to say 512) in increments of 1) to the main function, and then plot the result as a graph of Zuncomp (y-axis) vs k(x-axis).

I can verify the values of the function by typing say Zuncomp(0) or Zuncomp(10) etc but how do you run this so that you do Zuncomp(k) to read all values of k and generate the output to plot?

Using Maple 13 (Windows 7...


In trying to solve:

 a := diff(u(t), t$2)+(p^2-I+t^2)*u(t) = 0;
I get the following solutions,              
sol1 := u(t) = _C1*WhittakerM(-1/4-(1/4*I)*p^2, 1/4, I*t^2)/sqrt(t)+_C2*WhittakerW(-1/4-(1/4*I)*p^2, 1/4, I*t^2)/sqrt(t)        
It should be possible to expand these into parabolic cylinder functions and but im not sure how, i would appreciate any help.

Hi everyone,


I am trying to understand how can I create a function based on the differentiate of a matrix.


For instance:

And I would like to create the matrix FF based on the derivative of F with respect to x and then be able to use FF and a function.

I tried to combine, unapply, map and diff but I can't reach what I'm looking for.


I want to create a tangent function.

I know that you can create tan(x) but how can you create the tangent function when the solutions are only:

x in [0.19740;0.91510[ union [3.3390;4.0567 ?


Another explanation:

How you can graphically show the valid values of x in this inequality?

                  0.2 ≤ tan x < 1.3
Best regards

Hi guys. I need to do a Runge-Kutta method to solve two equations and I'm having trouble at using functions. My program is as shown below:

restart; A := Matrix();

dt := 0.1e-2;

diff(x(t), t) := v;

diff(v, t) := a(x(t), v);

xo := 0; vo := 0;

for i to 1000 do

xn := xo+v.dt;

vn := vo+a.dt;

dx1 := vn.dt; dv1 := a.dt;

dx2 := (vn+(1/2)*dv1)*dt; dv2 := a(x(t)+(1/2)*dx1, (1/2)*dv1)*dt;

dx3 := (vn+(1/2...

Let function f:\mathbb{R}\to\mathbb{R} so that

Good day, dear Friends!

I'm trying to find real positive roots  of equation 

sqrt(x+3-4*sqrt(x-1))+sqrt(x+8-6*sqrt(x-1)) = 1 with Maple 16.01.

One can easly verifies that this euqation has at least two positive  real (integer) solutions: at x=5 and x=10,

but Maple function 



I would like to do the following procedure from a basic concept, but I can't figure out what I'm doing wrong (sorry for that, I'm a beginner). I have tried to look up some more information about procedures on the Help menu with no success. Here you have what I'm planning to do:

Considering the following function (which approximates the cosine function):


I would like...

I have

f(x,y)=x y+x^2+1


g(t)=(2 t, 3 t).

I want to obtain the function (f o g)(t)  as a real-to-real one variable function.

What I tried:

f:=(x,y) -> x y+x^2+1,   it's ok;

g:=t -> <2 t, 3 t>,  it's ok.

But f@g  returns f@g.

How it would be possible to obtain f o g ?

My mathematics computation relies on a loop.

That loop is heavy and takes very long time to finish.

I try to split some undetermined functions outside the loop so that the work inside the loop will be easier.

I don't know how to use proc or module. Is there any tutorial that can help me as a beginner on this part?

Basically i need maple algorithm that enables user to call a user-defined function from another function.

And also how can...

Dear Sirs,

I am a post-doc working on the university and I am dealing with elliptic integrals together with Maple, nowadays. I am using for my computations en EllipticK(.) function and I need to know how this function computes its exact values for a given parametr of an elliptic modulus. Does it use some kind of a series(how does it pertinently look like?) or is it tabelated and consequently interpolated? Please, will you be so kind and could you give...


how to solve f(x+1) according the assumption.

this question is going to be asked has been done several times by me but no answere is sent,but i do it again:


how to solve them at the maple15

Some calculus problems are worked out with the differential formatted as a function prime (f', G', etc.). How do I enter a function with the prime symbol so that Maple will treat it consistently? I recall entering f'(x) once in the legend of a Plot. The legend, as output, was in 2D format d/dx(f(x).

Another variation on my question is this: If I enter diff(x^2,x), or d/dx x^2 in 2D Maple, and calculate, I get 2x. If there a way to enter f'(x^2) to get the derivative?

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