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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2answers
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find the largest perfect number less than $10,000$ in Maple

Can anyone tell me how to find largest perfect number less than 10000 in maple? Actually, I know how to find all the perfect numbers less than or equal to 10000 but I don't know how to find the ...
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1answer
174 views

Solve nonlinear system in maple

I want to solve the system $A - B = C$ to $A$, with $A$, $B$, $C$ matrices. And the variables in the matrix $B$ and $C$ are a combination of the variables in $A$. How can I do this? Because ...
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2answers
40 views

Simple question. How do you solve and factorize this using a CAS tool?

Simple question for you awesome guys :) I've got the formular for a polynomial: 7x^4-56x^3+224x^2-56x+231=0 The thing i need to do is to solve and factorize the ...
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0answers
104 views

Plotting characteristic equations maple

I'm trying to plot the characteristics for the following PDE with initial conditions: $$u_t +uu_x =0$$ where $$u(x,0)=a \ for\ x<-1, \ b\ for\ -1<x<1, \ c \ for\ x>1.$$ I'm first ...
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2answers
116 views

How use Maple12 to solve a differential equation by using Euler's method?

Consider the differential equation $y^{\prime}=y-2$ with initial condition $y\left(0\right)=1$. a) Use Euler's method with 4 steps of size 0.2 to estimate $y\left(0.8\right)$ I know how to do this ...
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1answer
826 views

How to draw heart shape (3D) using Maple

I'm drawing a heart shape (3D) using Maple, but I think it is not correct. Please hint to me how to draw it correctly. with(plots); implicitplot3d((2*x^2+y^2+z^2-1)^3-(1/10)*x^2*z^2-y^2*z^3, ...
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2answers
241 views

How to draw heart shape using Maple

I'm drawing a heart shape using Maple, but the heart-shaped curve is broken. Please hint to me how to draw it correctly.
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1answer
123 views

Why can't I use “limit” with two unknowns?

Why does Maple 14 gives me back the whole function when I want to use "limit" with two unknown variables?
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2answers
70 views

How to plot two unknowns in maple 14?

This doesn't works in Maple 14. Why? How can I plot this function? The original function not in maple (where is it continuous?): http://i.stack.imgur.com/vL9Qx.jpg
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1answer
100 views

How can I make this type of substitution in maple?

I have tried using subs but it is not working for what I am trying to do. I have r2 := (n_x^2+n_y^2-1); and I want this expression: ...
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1answer
111 views

Using Maple to work out error terms

I have the exponential matrix using a Jordan form matrix and transition matrix: $E(t) = e^{At}= \left[ \begin{array}{ccc} e^{3t}+3te^{2t} & 3e^{3t}-3e^{2t}+6te^{2t} & ...
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1answer
55 views

mod after a function

I am trying to find the solution, null space, for a set of equations represented by a matrix A. The example I find is as follows: Nullspace(A) mod 5; I have two questions: 1 - I cannot get Maple ...
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1answer
1k views

Solving System of Differential Equations with initial conditions maple

I've been asked to solve a system of differential equations using maple (for practice, as it is solvable by hand...), but I seem to be running into goop with syntax... d/dt r(t) = -lambda_r*r(t) + ...
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2answers
223 views

Plotting Endpoints on a Piecewise Graph in Maple

I am trying to plot a piecewise function in Maple and have the endpoints of each piece be an open circle or closed circle accordingly. To define the function, I did: ...
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3answers
338 views

How to compute Nullspace on maple?

I have the matrix $$A := \begin{bmatrix}6& 9& 15\\-5& -10& -21\\ 2& 5& 11\end{bmatrix}.$$ Can anyone please tell me how to both find the eigenspaces by hand and also by using ...
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1answer
61 views

maple : how to extract the data.

while doing optimization in MAPLE, i am getting the output in the form of a list, which is as follows. \begin{equation} t=[.366595121038205462, [pr = 14.2982930082790, ps = 22.5165237470778]] ...
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2answers
366 views

Has anyone published a formula for the volume of the intersection of two balls

Math people: I have Googled this question and searched Math Stack Exchange, and not found an answer. Given $r_1, r_0, t >0$, $r_0 \leq r_1$ I have found a formula for the volume of the ...
5
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2answers
317 views

Maple gives phantom solution to inequalities

I'm trying to get maple to solve some inequalities for me, and in particular to tell me when they have no solution. Unfortunately, it does not seem to be doing what I expect. The following ...
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1answer
256 views

How to expand trigonometric equation into non quadratic terms in MAPLE

I'm working with partial differential equations at the moment and at a point I get a trigonometric equation like this: $$\sin^{2}(\pi x)\cos(2 \pi x)$$ Now I would like to know how I can expand ...
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2answers
97 views

How to plot $\lbrace (x+y,x-y) \vert (x,y)\in (-1/2,1/2)^{2} \rbrace$

I want to visualize the following set in Maple: $\lbrace (x+y,x-y) \vert (x,y)\in (-\frac{1}{2},\frac{1}{2})^{2} \rbrace$ Which commands should I use? Is it even possible?
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1answer
55 views

Determine the matrix in a certain base

I have to determine the $Matrix F$ which describes f in comparison to the base A(a1,a2,a3,a4), and the matrix B - which describes regarding the basis E=(e1,e2,e3,e4) for $R^4$ That is $F =a[f]a$ ...
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0answers
46 views

Displaying $2 \cdot 10^5$ as $200000$

How can I in Maple write out the number $2 \cdot 10^5$, so it displays the full number with all digits: $200000$? By typing increasing zeros I can test Maples treshold, and I get: $20$, $200$, ...
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1answer
467 views

Is the vector in the span?

I have to show that $a_4$ is in the span of the other 3 vectors $a_1,a_2,a_3$ \begin{bmatrix} 2 &1 & 3\\ 3 & -1 & 4 \\ 1 & 2 & -1 \\ 4 & 4 & 3 \\ ...
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1answer
130 views

Maple plot problem

I'm tryin to make a 3D plot of a differential-equation. I already found: $$\begin{align*} &x_1' = f(t) x_4 - x_2\\ &x_2' = -f(t) x_3 + x_1\\ &x_3' = f(t) x_2 + x_4\\ &x_4' = -f(t) x_1 ...
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1answer
233 views

Finding inverse of a function that is mixture of exponentials

How can we find the inverse of this function? $$y=\exp(ax)+\exp(bx),$$ where $a$ and $b$ are constants
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1answer
50 views

Finding relations using Maple

Suppose that one has 3 (complicated) functions $f(x)$, $g(x)$, and $h(x)$. I would like to use Maple to find any relations that may exist between these functions. For instance, if it so happens that ...
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1answer
101 views

How to change command: g:=(f,n) -> seq( subs(x=i, f) mod 12, i=1..n)?

How to change command: g:=(f,n) -> seq( subs(x=i, f) mod 12, i=1..n)? Maple says: Error, illegal use of an object as a name... I try to create a melody generator that creates desired length of ...
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1answer
342 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: ...
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1answer
77 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 ...
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2answers
126 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 ...
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2answers
159 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 ...
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1answer
92 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 ...
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1answer
622 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 ...
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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
137 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 ...
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1answer
32 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\\ ...
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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 ...
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1answer
244 views

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

Is it correct that they use a matrix transformation?
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1answer
79 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 ...
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1answer
69 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
59 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 ...
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1answer
67 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 $1 ≤ y ≤ L[x]$.
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1answer
137 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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2answers
427 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 ?
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4answers
86 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 ...
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0answers
74 views

Complex or contour plot

I need to write a function f1 and f2 such that g(z) = 1/z and f1(g(z)), f2(g(z)); both plots on the same graph should look something like this graph: http://i.stack.imgur.com/iWDrk.png So far i came ...
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1answer
406 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 ...
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2answers
216 views

Maple Maths Question

Find, to 10 significant figures, the unique turning point of x[0] in the interval [1,2]. Also, i've got to get the second derivative in 10 significant figures. The plot doesn't exactly make sense ...
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1answer
158 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 ...
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3answers
194 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. ...