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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Evaluation of $\int_{1}^{\infty} x^{-\frac{5}{3}} \cos \left( \left( x-1 \right) h \right)dx$ with Maple [duplicate]

I have calculated the Integral with the aid of some professors here and I get a problem: $$\int_{1}^{\infty} x^{-\frac{5}{3}} \cos \left( \left( x-1 \right) h \right)dx$$ I have done the Integral ...
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1answer
155 views

How to evaluate the integral $\int_{1}^{\infty} x^{-5/3} \cos\left((x-1) \tau\right) dx$

I would like to evaluate the following integral: $$\int_{1}^{\infty} x^{-5/3} \cos\left((x-1) \tau\right) dx$$ I get the Integral by Maple and it gives the Lommel function. After that, I will search ...
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2answers
76 views

Get the function from Taylor series on maple

Can I get the reverse process for determining the function if I have its Taylor series, with maple? Thank you.
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1answer
92 views

Constructing a periodic piecewise (piecemeal) function in Maple.

I'm trying to make a piecewise function that will have period $12$. That is, it repeats every $12$ units across the $x$-axis. I managed to do one cycle successfully with ...
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1answer
29 views

collecting terms in a Differential Equation in Maple

Is there anyway to make maple collect terms in a differential equation? say for example $\dot{y}+y=3\dot{y}-7y$ so I get automatically $2\dot{y}-8y=0$
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2answers
90 views

Find $ \int_0^2 \int_0^2\sqrt{5x^2+5y^2+8xy+1}\hspace{1mm}dy\hspace{1mm}dx$

I need the approximation to four decimals Not sure how to start or if a closed form solution exists All Ideas are appreciated
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2answers
53 views

Help finding a summation using CAS

While approximating an integral by midpoint rule, I ended up with $$\iint_R f(x, y)\hspace{1mm}dA\approx \dfrac{1}{n^2}\sum_{i=0}^{n-1}\sum_{j=0}^{n-1} f\left[\dfrac{1}{2n}+\dfrac{i}{n},\hspace{3mm} ...
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1answer
59 views

How to solve a first order partial differential equation?

I have a first order pde ($P_{14}$ is the unknown function in $a, b, a_1, b_1$): \begin{align} & -\frac{a}{a_1} \frac{\partial P_{14}}{\partial a} - \frac{a b}{a_1 b_1} \frac{\partial ...
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0answers
67 views

How to solve a system of first-order partial differential equations?

I have a system of first-order partial differential equations. \begin{align} & -\frac{a}{a_1} \frac{\partial P_{12}}{\partial a} - \frac{a b}{a_1 b_1} \frac{\partial P_{12}}{\partial b} + ...
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1answer
78 views

Simplification of expressions with radicals in Maple

Having for example the expression $$\frac{abc\sqrt2}{d\sqrt{ab}}$$ (which results from a sequence of manipulations), can I force Maple to write it in the form $$\frac{c\sqrt{2ab}}{d}.$$ Many might ...
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1answer
77 views

System of linear algebraic equations in maple

I have to solve a system of linear algebraic equations in maple. In my book it is given using linalg package in maple, which is deprecated. So I want to use Linsolve from LinearAlgebra package, but ...
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3answers
77 views

Factoring in Maple

I am currently working on writing a procedure in Maple. What I need to be able to do is factor a number. The few commands I know to help with this are; ifactor(12); ...
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1answer
60 views

Conversion of Hypergeometric functions from Maple to Mathematica

After a calculation I found in Maple an expression of the kind: $$f(x)=hypergeom\left(\left[\dfrac{a}{b},1\right],\left[c,d\right],h\right)$$ What is the equivalent notation in Mathematica which I ...
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1answer
53 views

Simplying linear equation to get quartic in q using Maple and then using Descarte’s rule of sign

Using the maple I am trying to get quardic in q from this big linear equation. Then use Descarte’s rule of signs to determine the number of positive roots. \begin{equation} ...
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2answers
69 views

What is the algorithm for the “Shorten” command in Maple?

There is a package in Maple called "PolynomialTools". That has a command "Shorten". Does anybody know on what algorithm this is based. The maple manual does not explain much. Example: ...
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1answer
62 views

Maple: Inverse of Covariance Matrix

Good day, I would like to ask about the inverse of covariance matrix from the coding below (using maple): Anyone know why the inverse A can't be computed? Thank you for your help!
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1answer
41 views

Function of polygonplots does not plot all polygons

Could anyone explain to me why my Maple-Code does not work properly? ...
2
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1answer
223 views

Differentiation of a parametric function using MATLAB or Maple

I'm doing some mathematical calculation of some symbolic math that includes multiplication and differentiation of some matrices. Some of the parameters in my calculations are functions of time. for ...
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7answers
464 views

Best Math Plotting Software for Electrical Engineering

I am an electrical engineering undergrad. I would like to learn a math plotting software which would be helpful in visualizing topics in advanced calculus (my immediate need). It would also be helpful ...
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2answers
72 views

Help in understanding the Maple answer

I tried to find the definite integral of an equation using Maple. It returns the answer to me as a limit. Specifically, it is giving me $$\lim_{r\to \infty} G(r)$$ What does this answer mean? Do I ...
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1answer
116 views

Isolate terms within an equation in Maple

Is it possible to automatically (from command line, or using select and then the menu from right-click of the mouse) to isolate specific terms in an equation withn maple? Hier is a very simple simple ...
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1answer
73 views

Integration in Maple

I am trying to evaluate the following integral using maple but it returns the answer without evaluating the lower limit. Can anybody help me in using maple to solve this integral? $$ ...
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1answer
259 views

Generating Matlab Code using Maple

When exporting Matlab Code from Maple using for example the command fprintf(FileName, %s, CodeGeneration[Matlab](VariableName, output = string)) I get the text ...
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2answers
99 views

Substitutions in Maple

Can any one tell me what am I doing wrong in the following expression in Maple? subs(a*b*c=A, e*f/d=B, a*b*c*e*f/d) I am getting the output $\frac{abcef}{d}$ ...
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3answers
66 views

Integration using maple

I am trying to evaluate the following integral using maple but it returns the unsolved integral. Can anybody help me in using maple to solve this integral? $$ \int {2\pi\lambda R e^{-\lambda \pi ...
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1answer
37 views

Is there some function in Maple which can compute the number of monomials in a polynomial?

Is there some function $f$ in Maple which can compute the number of monomials in a polynomial? For example, $f(x_{1,2})=1, f(x_{1,2}+3x_{3,2}x_{2,5})=2$. Thank you very much.
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2answers
44 views

How to find number of variables in a monomial in Maple?

Given a monomial $m$. How to find number of variables in $m$ in Maple? For example, let $m=2*x*x$. Then the output to be $2$ (two same variable $x$ in $m$). Let $m=-2*x*y*y$. The output is $3$ ...
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1answer
36 views

Take the index of a variable in Maple.

Are there some functions in Maple which can take the index of a variable. For example, we define are there some functions f in Maple such that f(x[2,3]) = [2,3]? Thank you very much.
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1answer
80 views

Parametrization for implicit function

$3y^2=x(1-x)^2$ By differentiation we can knwo that the sketch of this graph has one circle. I want to draw a graph in maple. Implicit plot does not work well So I will use parametric way. ...
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0answers
126 views

How to eliminate functions from a set of differential equations with Maple?

I've got a set of 7 equations, 3 of them being differential equations, with 7 unknown functions. I'd like to reduce the system to a set of 2 differential equations by eliminating 5 of the unknown ...
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2answers
102 views

Coding in Maple

I am trying to animate a sequence of functions in Maple and I am stuck on how to do so. This is what I have so far ...
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1answer
137 views

Plotting piecewise functions maple

How would I plot the following equation in maple? $$f(x) = \begin{cases} 1, & \text{if } x\in\mathbb{Q}, \\ 0, & \text{if } x\notin \mathbb{Q}. \end{cases}$$
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1answer
58 views

Solving an ODE in Maple via Picard approximations

I am trying to use Maple to apply Picard approximations to the following ODE: $$ 2xyy' + x^2 - y^2 = 0,\ y(0) = 1 $$ I transformed it into the form $y' = f(x, y)$: $$ y' = \frac {y^2 - x^2} {2xy} ...
3
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0answers
100 views

Maple code to Latex file

I am writing a project in Latex and have been using Maple to help calculate various things. I want to copy the code in maple and put it into the Latex file so it will still maintain the maple style ...
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0answers
125 views

In Maple or Mathematica, syntax : Finding the fundamental sol. of the Heat eq., with Dirac-Delta initial condition

I use this question as a case example for later solving more complex equations of this type : When trying to find the fundamental solution of the Heat equation using Maple (software) , I get the ...
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3answers
85 views

Plotting a region in $3D$ space

I would like to know if someone knows of a software where I can plot the following region $$ D = \{ (x,y,z) \in \mathbb{R}^3: 0 \leq x \leq 1 , \; x^2 \leq y \leq x, \; \; 0 \leq z \leq x \} $$ ...
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0answers
66 views

Galios Field Theory

$GF(29)^2$ is created by adjoining the root of the irreducible quadratic $p=x^2+7x+15$ to the field $GF(29)$ . The cubic polynomial $q=Y^3+(26x+26)Y^2+(8x+22)Y+13x+23$ is irreducible over this new ...
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1answer
107 views

Prevent Maple to evaluate before simplify a function

I have been trying to find a domain of $f(x)=\frac{x}{\frac{(x+2)}{(x-3)}}$ using different kind of software ( its clear the domain of this function is $\mathbb{R}\backslash \{-2,3\}$ ). When I tried ...
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1answer
29 views

Finding zeroes of a numerical solution of an ODE in Maple

I have a system of ODEs involving many variables, say 20, and I have solved this system numerically by Maple for a particular initial condition. When I plotted these solutions it was clear that ...
2
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1answer
46 views

Inserting Maple worksheet commands [closed]

In Maple, it's very easy to delete a line or command in a worksheet (cmd-backspace), but how would I insert a line in the middle of a worksheet? Thanks, -GW
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1answer
39 views

defining ODEs recursively in maple

I want to numerically look at a system of ODEs with a large number of variables; defined by $da_j(t)/dt= 2^j a_{j-1}^2 - 2^{j+1} a_j a_{j+1}$, for $j=0\ldots50$ with $a_{-1}= a_{51}=0$. In maple, I ...
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2answers
56 views

maple evaluate function of variables containing x

Well this is basically the problem. I want to evaluate a function but the variable x is defined inside a, so for some reason maple doesn't substitute 7 for x.
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3answers
850 views

first, second and third derivative of a vector function

I can define the following vector function $f(x,y,z) = [x^2 - 1, x^3 + y^2, z]$ in MatLab or in Maple. I want to find (and evaluate) the first, second and third derivatives of it. How to find : ...
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1answer
48 views

keeping track of a quantity in an ODE system

I have looked at some Maple help documents, but it was hard to find what I wanted to do.. My situation is quite simple. I have a couple ODE for (say) 5 variables, $a_1 '(t) = a_2 (t) a_3(t) - a_1 ...
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1answer
158 views

Good software package to help Maths learning

I'm a mature student enrolling at a Maths degree course soon at the university. I'd like to be able to use some software package to help me visualize equations, graphs, play around with variables with ...
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2answers
79 views

Maple: If a number is an integer/square

I'm writing a Maple procedure and I have a line that is "if ... then ..." and I would like it to be if k is an integer (or if k^2 is a square) - how would onw say that in Maple? Thanks!
2
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2answers
72 views

How to plot a surface in maple where the range is given by an expression, not constants?

Im trying to plot the surface $z=(1+x^2)/(1+y^2)$ , but specifically the part of the surface that is above $|x|+|y|\leq1$. Cant seem to find any information on how to produce a plot in maple, where ...
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2answers
51 views

Ending a procedure early in Maple

I want to jump to the end of the procedure if an IF statement is true ...
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1answer
637 views

How can I plot a 3d graph with data points in Maple?

I am trying to plot this data on Maple as 3D scatter plot and surface plot: Any help would be appreciated. Thanks. Cut-and-paste format of the data: Pressure(Bar) Temp (K) k (/Ms) 19.02 ...
2
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1answer
251 views

Can wolfram alpha compute symbolic vector derivatives

Can Wolfram alpha be used to find out say $$\nabla_x\left(\|y-Ax\|_2\right)$$ What command do I use? I tried some obvious ways, and googled a bit, but didn't find anything.