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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580 views

Newton Divided Difference Method of Interpolation in maple

Does anyone know how one can do this in maple? find Newton divided difference interpolation polynomial for the function cos2x the points {1, 0.6, 0.3, 0.1, 0}
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3answers
596 views

how to convert to a rational number with some decimal from base 10 to base 2

It is very eazy to convert an integer number to another base, say 2, using Maple. Can anyone tell me how to convert a rational numbers with several decimals from base 10 to other bases In maple? Well, ...
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2answers
705 views

Plotting parametric equations in Maple

I have the following problem. Let $\alpha:=\alpha(v)$ and $\beta:=\beta(v)$, where $v\in\mathbb{R}$. Using MAPLE, I would like to plot $\alpha$ and $\beta$ in the $(\alpha,\beta)$ space as $v$ varies ...
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2answers
161 views

Finding Blowup of an ODE with maple

I've been interested in finite blowups of odes lately. I'm looking for a good way to calculate blowup times in maple. Right now all I do is to use dsolve, plot the ode, and then look where the ...
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1answer
75 views

How write these two motions into one system

f describe the horizontal motion g describe the vertical motion have error when put m(t) in x() Maple code ...
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1answer
103 views

What is the easiest way to define a complex number in exponential form in maple?

What is the easiest way to define a complex number in exponential form in maple? Is there a built-in function? eg: $\underline{Z} = 600 \cdot e^{-j45^\circ}$
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1answer
107 views

How can I solve this really easy number theory/modular arithmetic problem in Maple?

Math people: This is more of a Maple question than a math question, but I think I will get an answer more quickly here than at mapleprimes.com. I spent a lot of time on Google, mapleprimes.com, and ...
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3answers
533 views

is there a name for this function (parity of a finite sequence)?

Variants of this question have been crossposted to Stack Overflow and Computational Science Stack Exchange. Additional answers may be found at these other sites. Math people: In an attempt to ...
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1answer
511 views

Numerical values of the Jacobi elliptic function sn: Wolfram Alpha vs. Maple vs. C++?

I have a problem to check the validity of an algorithm I've implemented in C++ to compute the Jacobi elliptic function $\mathrm{sn}(u, k)$ (inspired and improved from Numerical Recipes 3rd edition). I ...
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1answer
295 views

Finding the derivative of a numeric solution to an ode in maple

I'm looking at functions of the form $w''''(t)+aw''(t)+f(w(t)) = 0$ In maple I used the following which will return numeric solutions to w,w',w'',w''': sol := dsolve({de, ics}, type = numeric, ...
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2answers
157 views

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
747 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
47 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
254 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
166 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
2k 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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3answers
645 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
253 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
91 views

How to plot two unknowns in maple 14?

This doesn't works in Maple 14. Why? How can I plot this function? $$\text{plot}\left(\frac{x^2 \cdot y^2}{x^2+y^2},x,y = -\infty .. \infty\right);$$ Here's the original function (where is it ...
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1answer
201 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
126 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
59 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
3k 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
619 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
623 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
74 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
642 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 ...
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2answers
614 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
557 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
107 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
62 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
47 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
1k 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
196 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
464 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
61 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
162 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
460 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
103 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
196 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
216 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
298 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
1k 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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3answers
8k views

Degrees and radians in Maple [closed]

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
160 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
38 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
318 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
352 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
101 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
87 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 ...