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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Roots of an equation using Maple

I am using Maple to find the roots of a non-linear equation in one variable. When I solve the equation, I get only 2 negative roots whereas if I plot the graph of the function, it also shows that the ...
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1answer
30 views

Building an nth order ODE in Maple (or Matlab)

The question is simple: given a system of ODEs, how can one construct the equivalent nth order ODE in Maple? In my case I have $$ \begin{cases} y''(t)+x'(t)+x(t)=f(t)\\ y''(t)+z''(t)+z'(t)+z(t)=0\\ ...
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2answers
47 views

Why do I keep getting a negative solution in Maple?

I would like to solve a system of 9 nonlinear equations, with the constraints on all 9 variables to be that they are nonnegative. My code is below. ...
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1answer
90 views

Maple - Substitute into an expression involving derivative

I'm working with some matrices including derivatives like d/dt(x(t)). I need to replace this whole expression {d/dt(x(t))} with something like xdot. I have tried to use "subs", but it seems to refuse ...
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1answer
93 views

How to solve calculus integration problem using Maple?

May I know if it is possible to solve these problems using Maple? ( I've tried it by hand but I would like to know if there are alternatives) In triangle ABC, M is the point on BC such that the ...
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3answers
52 views

Is this power rule true for the natural base?

Two questions 1) I was wondering if $e^{k \ln{x}}=k$ for any k. Is it? 2)To test I went to Maple and typed e^-ln(x) and it gave $e^{-ln(x)}$. I tried simplify and ...
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1answer
113 views

How to do this in maple?

1.Sexy primes are prime numbers that differ from each other by six. For example, the first 5 sexy prime pairs are (5, 11), (7, 13), (11, 17), (13, 19), (17, 23). Find the number of sexy prime pairs ...
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1answer
46 views

Сombinatorial identity

I try to prove the following hypothesis $$\sum_{i=0}^k \frac{(-1)^i (n+i-1)(n+k-2)!}{i!(k-1)!(n-1)!}{{n+2k-i-1} \choose {2k}}=\frac {{n+k-1\choose k}{n-2+k\choose k}}{k+1}.$$ In the Maple: gip:=proc ...
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2answers
49 views

Maple differentiation syntax?

If you have assigned a function to a label, how can you take it's derivative? For example I defined fun2 as $x^3$ but doing ...
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2answers
59 views

Can anyone show me the starting step for this question?

Let $x = x(t)$ and $y = y(t)$ be functions in $t$. Suppose that $x′ = 2x − 5y + t$ and $y′ = 4x + 9y + \sin t$ such that $x(0) = y(0) = 0$. Find $y(1)$ This is my first time using maple.I know how to ...
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0answers
55 views

solve complicated system of non-linear equations numerically

I have two algebraic equations I am trying to solve in MAPLE. They are: $14\,{a}^{26}{b}^{2}-91\,{a}^{24}{b}^{4}-364\,{a}^{22}{b}^{6}-1001\,{a} ...
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1answer
153 views

Solving symbolic linear equations with maple

How can I solve linear equations of the following type in Maple? $$\begin{pmatrix} 1 & 1 & 1 & 1\\ b-c & c-b & a-b &0 \\ b-d & d-a & 0 &a-b \end{pmatrix} ...
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0answers
23 views

how to test whether cobordism exist between two manifold or two system of polynomials

from wiki Every simply connected, closed 3-manifold is homeomorphic to the 3-sphere. from book geometrisation of 3-manifolds ...
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1answer
37 views

Maple command for finding specific values that will make an inequality true

Is there a Maple command for finding specific values that will make an inequality true? For instance, if the input is $a<b,$ a possible output would be $a=1,b=2.$
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1answer
28 views

Maple not displaying graph

Maple is only producing a description of a graph, e.g. C := Graph 9: an undirected unweighted graph with 66 vertices and 219 edge(s), rather than displaying the graph. Can anyone please help? ...
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1answer
70 views

Plot zeros of partial sum of zeta Riemann with Maple

I want to plot the zeros of the partial sum of the Riemann zeta function with Maple. Some hint?? Thanks!!!
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1answer
60 views

Using Maple to find the normal vector

I'm trying to find the normal vector to the level surface $xyz = 1$ at an arbitrary point $(a, b, c)$ ...
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1answer
77 views

Integration: $\frac{2}{\pi} \int_0^\pi \frac{\sin(nx)}{10}x(\pi-x) \mathrm{d}x$ Can someone matlab/mathematica/maple it for me?

I want to compute $\frac{2}{\pi} \int_0^\pi \frac{\sin(nx)}{10}x(\pi-x) \mathrm{d}x$, where $n=1,2,3,4,\dots$ I worked this by hand and got the result: $-\frac{4\cos(nx)}{10n^3\pi}$ To check my ...
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3answers
167 views

Plot the graph of a discontinuous function of two variables using Maple

I want to plot the level curve of $xyz = 1$; According to wolfram alpha the plot should look like this; But instead I end up with; Here's my Maple code. I'm sure it's because the function is ...
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2answers
55 views

What's the easiest way to approximate an answer to n places after the decimal?

Say you wanted a decimal answer. How do you get one? I know evalf() can be used but it counts ALL digits, not just after the decimal. For example evalf(19/4, 2) gives 4.8 but I'm looking for a ...
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1answer
64 views

Use the pseudoinverse to find the conic section of best fit to the data

I am working on a group project and none of us can figure out how to find the answer. Our professor insists that all of our work be done in maple. The problem is: Use the pseudoinverse to find the ...
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1answer
114 views

Using the pseudoinverse to find the linear combination of functions?

I'm working out this problem with a friend of mine on a group project and we are both stuck Our professor insists that we do all of our work in Maple. I like Maple, but it's not as great as ...
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1answer
48 views

Specifying variables in Maple

Two questions 1)How do you express Euler's number (≈2.718) in Maple. For example I want ln(e) to simplify to 1. 2)How do you have a constant with a subscript? For example if I wanted to input the ...
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0answers
34 views

simplex in MAPLE

I am trying to solve a large system of linear inequalities (about 500 variables) subject to the nonnegativity condition on the variables.Call this system500 for future reference. I do not need to ...
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1answer
73 views

maple plot of Belyi function

I would like to understand how to construct Figure 5 of the paper Composition is a generalized symmetry by Alexander Zvonkin: The hypermap/dessin d'enfant of Figure 4 is while the Belyi function ...
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1answer
97 views

Best program for multiplying many multivariable polynomials

I want to make a table with two columns: The first column will consist of many(possibly hundreds) of polynomials in two variables. The second column will be a function applied to all of the ...
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2answers
38 views

Maple - Find all intersecting points

If I want to find all points of intersection, and not just one point, between the following two functions: $ sin(x)^{2}$ and $e^{-x}cos(x) $ $ eqn := sin(x)^2 = e^{-x}cos(x); $ $ fsolve(eqn, x); $ ...
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3answers
57 views

Maple - Convert to complex

I need to convert $ \dfrac{1}{2x^{3}+x^{2}+2x} $ to $\dfrac{1}{2x} + ...
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1answer
77 views

Implicit 3d plot with depending bounds

I would like to plot this plane ($k1,k2,k3$ are constants): $x-k1=0$ such as $x=k1..n$ ; $y=(z-k3+k2)..n $; $z=k3..n$ The difficulty is that second variable y depend on z. I was trying to use Maple ...
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1answer
47 views

Understand a Maple output

My goal is to solve for $L$ in $\frac{(2k)!}{2^kk!}{2nL - L^2 \choose 2k} = \sum_{s=0}^k{L \choose s}{n-L \choose s}s!\frac{(2k-2s)!}{2^{k-s}(k-s)!)}{L-s \choose 2k-2s}.$ I tried to use the solve ...
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2answers
206 views

Strange behavior when graphing a function (Maple)

I was doing a presentation on Limits and I was using this $$f(x)=\frac{x^2+2x-8}{x^2-4}$$ to explain different types of limits. I know that the function is not defined at $x=-2$ or $x=2$. I showed ...
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0answers
66 views

Graphing the sum of a Fourier series in Maple

Periodic function: $g(x) = -1$ if $-2 < x < 0$ $g(x) = 1$ if $0 < x < 2$ Find the Fourier series representation of g(x) My work: I found that the ...
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0answers
51 views

Mathieu characteristic function for non integer value in Maple

In Maple the Mathieu characteristic function can only evaluate integer values. But in Mathematica it can take non-integer values. And I have test that the integer values from both system seems ...
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0answers
38 views

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
149 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
69 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
71 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
27 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
88 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
52 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
56 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
57 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
74 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
66 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
72 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
52 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
52 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
63 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
55 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
40 views

Function of polygonplots does not plot all polygons

Could anyone explain to me why my Maple-Code does not work properly? ...