For questions involving the application of the program Maple to mathematics. NOTE: questions which focus primarily on the program Maple and not on its applications to mathematics are not appropriate for this site.

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1answer
348 views

Bessel Function in Sturm-Liouville problem

I have the following Sturm-Liouville problem: $$\frac{d^2 y}{dx^2}+\lambda x^2y=0,$$ where $y(0)=0$ and $y(1)=0$. I have solved this using MAPLE and found the exact solution to be: ...
1
vote
1answer
78 views

Error in Weyl character formula computation.

I need someone with a keen eye for errors. I am trying to use the Weyl character formula for the symplectic group Sp$(4,\mathbb{C})$ on certain matrices coming from 2x2 quaternion matrices. Summing ...
2
votes
2answers
131 views

Self-intersection of vector valued function

A vector valued function $r(t)$ has the following coordinates: $$x = 4\cos\left(\frac12t\right)+2\cos(2t)+\cos(4t)\\ y = 4\sin\left(\frac12t\right)+2\sin(2t)+\sin(4t)$$ I have to find the $t$-values ...
0
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2answers
160 views

Area & Arc Length of $r=1+6\sin(\theta)+\cos(6\theta)$

How do I approach this problem? Graph the following polar curve and show that it cuts out 5 different regions. Find the area of each of those regions. $$r=1+6\sin(\theta)+\cos(6\theta)$$ Also, find ...
0
votes
1answer
102 views

Maple: How do I show vectors with many elements? [closed]

As the header says: How do I show vectors in their full form, when they have many elements? Instead of just seeing some vector data that Maple shows, when the vector is too long: I recall seeing a ...
2
votes
1answer
692 views

Symbol for derivative in MAPLE

I am trying to use MAPLE to do some computations involving system of equations which terms are derivatives of functions. When I type diff(alpha(x),x) it shows ...
1
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2answers
3k views

Degrees and radians in Maple

Does Maple give the possibility to switch between degrees and radians while making calculations? If so, how do you switch?
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1answer
138 views

How to numerically solve such differential system (ODE, Nonstationary, Nonhomogeneous) (what steps to take)?

So I have next system with boundary conditions: Maples sol:=dsolve([sysG, bc]) and ...
0
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1answer
33 views

how to find matrix exponental of a fourth order matrix in Maple12

how to find matrix exponental of the fourth order matrix in Maple 12 given below $$ \left(\begin{array}{cccc} -2&3&1&0\\ 1&-4&1&1\\ 0&1&-3&2\\ ...
1
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0answers
302 views

$\int^{\infty}_{0}x^{r +s- 1}(1 + x)^{-s}(1 + x^2)^{-\frac{rm}{2}}dx$

I'm trying to solve the integral $\int^{\infty}_{0}x^{r +s- 1}(1 + x)^{-s}(1 + x^2)^{-\frac{rm}{2}}dx$, where $s$, $r$ and $m$>1 are positive integers. My question is whether a closed form ...
3
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1answer
258 views

How does Matlab or computer algebra systems find derivatives of functions?

Is it correct that they use a matrix transformation?
1
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1answer
82 views

how to convert a multivariate polynomial to a list in Maple

Motivation: I need to take higher derivatives with respect to many variables. The particular derivatives I take are based on a homogeneous multivariate polynomial. This polynomial is 12 pages in Maple ...
0
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1answer
70 views

Why does Maple gives limit as $-1/2-1/2I .. 1/2+1/2I$?

It inputted this(below) limit and it gives above output. $limit(\frac{-\frac{1}{4}(-1)^{N+1}-\frac{1}{2}(-1)^{N+1}(N+1)+\frac{1}{4}}{N+1}, N = \infty)$ Is it right answer, or does output $-1/2-1/2I ...
3
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0answers
65 views

Algorithm for generating random regular graphs in Maple

In Maples package RandomGraphs, there is a method called RandomRegularGraph(n,d) which takes a number of vertices $n$ and a degree $d$ and returns a random $d$-regular graph on $n$ vertices. Does ...
0
votes
1answer
69 views

Using functions in Maple

How do approach this problem? Write a function points which takes a list L of non negative integers and returns a list of pairs $[x, y]$ where $1 ≤ x ≤$ the length of $L$ and $1 ≤ y ≤ L[x]$.
0
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1answer
140 views

How to display values of a sequence in Maple 12

I want your help to arrange the values of a sequence or function in a tabular form automatically by giving the "seq" command in maple 12. e.g. $f(n)=n^2$ $$ \begin{array}{|l|l|} \hline n&f(n)\\ ...
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votes
2answers
446 views

How to plot the the following function in Maple 12?

How to plot $\quad f(t) = \begin{cases} a, & \text{if $t=0$ } \\ e^{-b.t}, & \text{if $t>0$} \\ 0, & \text{if $t<0$} \end{cases} $ using maple 12 ?
1
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4answers
87 views

Complex functions

I need help solving this problem: For $z$ a complex number, let $g(z) = \frac{1 + 2z }{1 + z}$. Find a function $h_1(z)$ such that $h_1(g(z)) = z$ and another (possibly the same) $h_2(z)$ such that ...
0
votes
1answer
417 views

Maple find the stationary points

For the long equation: $$f = \frac{384x^8-2,304x^7-2,624x^6+41,568x^5-63,693x^4-118,309x^3+418,032x^2-405,405x}{3,072x^2+9,216}$$ I have to find the stationary points in maple between the interval ...
0
votes
2answers
230 views

Using Maple to numerically find the unique extremum (“turning point”) of a given function

Given $$ f(x) = 5\sin\left(\frac14 x^4\right) -\sin\left(\frac12 x\right)^4 $$ Find, to 10 significant figures, the unique turning point of x[0] in the interval [1,2]. Also, I've got to get ...
0
votes
1answer
162 views

Maple Matrix for LinearSolve [closed]

With the following matrix, I'm suppose to use Maple to create the vector b that is column 3 from A and the matrix C that is made from columns 1 to 2 and 4 to 11 of A (in the same order as the ...
-1
votes
3answers
197 views

How do i do this in maple? [closed]

need help with this maple question on sequences, finding it hard to turn the whole bunch of functions into a single maple function. ...
0
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2answers
42 views

Maple equation entry

I'm given this question and asked to solve it in maple. What are the codes to key in this equation?
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0answers
189 views

maple code for exp-func. for solving PDE's & non-linear ODE's?

How can I create the Maple code using exponential-function solving the equation below? $u_t = \gamma u_x+6u(u_x)^2+(3u^2-1)u_{xx}-u_{xxxx}$ $u_t =u_{xx}-u^3+u,$ $\alpha u''(x) = \beta ...
1
vote
1answer
88 views

how to solve the Blasius problem using gegenbauer in maple?

The steady, laminar, incompressible, viscous flow over a semi-infinite flat plate can be expressed by the following boundary value problem ${\partial u \over\partial x}+{\partial v\over\partial y}=0$ ...
1
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1answer
332 views

Computing convolution density function with Maple

I would like to know how to compute a probability function of a convolution of Negative Binomial distribution with Maple. Here is an easy example of what I want to do : ' ...
2
votes
1answer
177 views

Numerical solution of fractional integro-diffrential equ. using collocation method?

problem comes from "Numerical solution of fractional integro-differential , equations by collocation method , E.A. Rawashdeh, Department of Mathematics, Yarmouk University, Irbid 21110, Jordan" ...
1
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3answers
293 views

how to solve kawahara equation?

the numerical solution to a problem involving a nonlinear partial differential equation of the form below $u_t + uu_x + u_{3x} − u_{5x} = 0$ $u(x, 0) = f (x) , x ∈ R$ which is called Kawahara ...
0
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2answers
62 views

Simultaneous eqns in maple

I am trying to solve the following system of equations in maple but it doesn't work for some reason: ...
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0answers
95 views

How can I use rationalized haar functions to solve differential equations?

How can I use rationalized haar functions to solve differential equations? I do not have any idea what are haar functions and how to use them please help!
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5answers
529 views

Cryptography in Maple and Mathematica

Is Maple or Mathematica preffered over the other for Cryptography/Number Theory? What are the advantages for each in terms of this area of mathematics? Also could someone compare and contrast ...
0
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3answers
254 views

Maple Error on Asymptotic Analysis of $\ln(n)!$

In Maple, the command asmypt($f$,$x$) computes the asymptotic expansion of the function $f$ with respect to the variable $x$ (as $x \rightarrow \infty$). The command asympt(ln(n)!,n); gives the ...
0
votes
1answer
105 views

Derivative of HeunC function

Given the HeunC function: $$ \operatorname{HeunC}\left( \frac{a^2}{2} \sqrt{2k+3},-1/2,-1+\frac{a^2}{2},-\frac{a^2}{8}(-1 +a^2 k), \frac{1}{2}-\frac{a^2}{4}, -\frac{x^2}{a^2} \right) $$ where $a$ is ...
1
vote
1answer
160 views

Maple, Graph of an optimization problem

I have solved the following maximisation problem analytically. I would like to graph the solution as well so I can see it, but I am not sure how to do this with Maple, i have just started using it. ...
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0answers
167 views

continued fraction to rational polynomial in maple?

In maple is there a way to convert a continued fraction into a rational polynomial? I'm using the minimax function and for a particular function I want to approximate it returns a continued fraction ...
1
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0answers
178 views

How to derive to inverse z transform of $\sqrt{\frac{1-a^2}{1-\frac{a}{z}}}$ from Laguerre differential equation?

How can I derive the inverse z-transform of: $$\sqrt{\frac{1-a^2}{1-\frac{a}{z}}}$$ If Maple is not the way, how to derive manually? With Maple code I encounter some problems ...
0
votes
1answer
47 views

How to disable empty space around the center circumference of the 3D function(using Maple13 and plot3d())?

When I try to plot 3D functions like the equation of a sphere with Maple13 on Linux(OS) using plot3d() I see empty space around the center circumference of the graph. I understand it might be useful ...
1
vote
1answer
272 views

Double integral in Maple involving parameters [closed]

$$\int_{0}^{1}\int_{0}^{1-x}(1-x)(1-y)(x+y)x^{n_1}y^{n_2}(1-x-y)^{n_3}\mathrm{d}y\mathrm{d}x$$ I want to calculate above integral in Maple, the parameters $n_1,n_2,n_3$ are all natural numbers. I ...
2
votes
2answers
377 views

Visualization of Cantor set by Mathematica or Maple!

We all know what it is the Cantor set. The Cantor set is created by repeatedly deleting the open middle thirds of a set of line segments. One starts by deleting the open middle third $(\frac{1}{3}, ...
0
votes
1answer
81 views

Programming question in Maple [closed]

How do I ask Maple to skip an integer in a loop? Something like: for i from 0 to n do for j from 0 to n, j<>i, do ... (I want j to skip i.)
4
votes
2answers
874 views

Maple: how to solving composite function

Here is just an simple example that I want to use Maple to solve: $$h(x)=f(g(x))$$ $$g(x)=2x+1$$ $$h(x)=4x^2+4x+7$$ Find polynomial of $f(x)$ Thanks :)
0
votes
1answer
241 views

Random-Tree simulation

I wanna simulate a Galton-Watson Tree to a maximum of n generation given a reproduction law P. I use Maple but I am unable to create the edges of the tree whenever there are more than two vertices in ...
0
votes
1answer
2k views

Using maple to find stationary points within a domain/range

I have no trouble finding stationary points using diff and solve in the following way: f:= somefunction; dx:=diff(f,x); evalf(solve(dx=0)); which gives me an ...
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2answers
175 views

Error In Assigning Values to Two-Variable Function

Please migrate this question if it is not appropriate for Math.SE (I fear it is not). In the following snippet, $f(i,j)$ is a procedure that compares the value of $i$ and $j$ before deciding what to ...
0
votes
1answer
325 views

Running command line Maple script interactively

I'm connecting over ssh to a machine running Maple. Is there a way to run a script, let's say derp.mpl, such that after executing the script Maple is still running? Something perhaps analogous to ...
1
vote
1answer
420 views

Lagrange Coefficients in Maple

I'm trying to compute Lagrange coefficients in Maple. Having found the $n$ roots of a Lagrange polynomial, I want to calculate the $j$-th coefficient: $$L_j(x) = \prod_{{i=0}\atop{j \neq ...
0
votes
3answers
525 views

Draw 3d double integral in Maple

I have a voluntary hand in I am working on, and in that rigard I need to draw the following figure in Maple. The area $ \displaystyle \iint_R \frac{x}{\sqrt{x^2+y^2}} \mathrm{d}A $ where $R$ is ...
0
votes
2answers
176 views

Integrating with vector coefficients in Maple

I'm trying to use Maple to do something like this integral: $\displaystyle\int \frac{a\mu-b}{||a\mu-b||^3} \mathrm{d}\mu$ Where $a, b$ are vectors and $\mu$ is a scalar I'm integrating by. But I ...
2
votes
2answers
686 views

Generating random array in Maple

I'm trying to do simulation in Maple, but I can't figure out how to do the following: How does one generate a set of random whole numbers in an array of 24 element (in 1 column) where the sum of the ...
1
vote
1answer
83 views

Maple help : How to use functions

I have a quadratic expression, which I process using the solve function in MAPLE, like so quadformula := solve(p,x); This displays the quadratic form of the ...