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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46 views

Maple, simplyfing ODEs questions

I'm a novice using Maple 16. I'm using it mostly to check my DE homework solutions. And it happens a lot that I get stuff like in the picture. I mean (if I'm not missing anything important) that ...
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2answers
118 views

Maple: How do I type “solve” with an arrow under?

I am trying to learn using Maple 18 (Mac). I have defined a function with a list of X and Y values. f := x->LinReg(X, Y, x) Now I would like to output the unknown "x" value that correlates with ...
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1answer
22 views

MAPLE- Developed in a Fourier Basis - Simplifying commands

After a succession of simplifying commands, I am trying to have a truncated serie Fourier of the expression T3. I get this kind of result T33 : [1] : http://s15.postimg.org/kf2sjvpff/...
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1answer
256 views

Converting large symbolic Jacobian to LaTeX

I have generated an 8x8 Jacobian, containing a few variables and several zeros as elements. I would like to translate this to LaTeX code. How can I first simplify what I have, to make it tractable? ...
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1answer
161 views

Get the closed form of Taylor series with Maple

Is it possible to get the closed form of Taylor series with Maple? The series command can give any given number of terms, but the question is about the closed form ...
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2answers
48 views

Reading the coefficients with Maple

If I have $$ a+(b-c \cdot a) \cdot x = 5+7x $$ then I know that $$ a = 5 $$ and $$ b-c \cdot a = b-5c = 7 $$ Can I get this result with Maple? If I just write ...
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1answer
40 views

Order of terms in simple expression in Maple 18

If I write a[n-1] in Maple 18 it changes the output to $a_{-1+n}$ and 4*c[1]-6*c[2] is changed to $-6 c_2+4 c_1$. And this ...
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1answer
116 views

Solving equation with integer matrices as unknowns

I am currently working on a problem, where I need to know for square integer matrices, $A$ and $B$, whether or not there exists square integer matrices, $X$ and $Y$, such that $X(A-I)Y=B-I$, where $I$ ...
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1answer
36 views

Is there a way to change default order of series in Maple?

The default order when expanding in the software Maple is 6 (six!!!). This is very awkward and annoying because one rarely need even the second (non-trivial) order. In any case, is there a way to ...
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1answer
457 views

Maple plotting and loops

I need to plot all of the curves generated using a Maple for loop. As an example, consider the simple loop: ...
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1answer
101 views

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
45 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\\ x(...
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2answers
60 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
212 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
123 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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2answers
56 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
141 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 (p,...
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1answer
48 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
60 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
61 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
72 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} ^{20}{b}^{8}-2002\,{a}^{18}{b}^{10}-3003\,{a}^{16}{b}^{...
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1answer
600 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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1answer
58 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
44 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
111 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
194 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
93 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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2answers
305 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
66 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
133 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
301 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
68 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
64 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
103 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
159 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
57 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
60 views

Maple - Convert to complex

I need to convert $ \dfrac{1}{2x^{3}+x^{2}+2x} $ to $\dfrac{1}{2x} + \dfrac{\dfrac{-1}{4}+I\dfrac{\sqrt{15}}{60}}{x+\dfrac{1}{4}-\dfrac{I\sqrt{15}}{4}}+\dfrac{\dfrac{-1}{4}-I\dfrac{\sqrt{15}}{60}}{...
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1answer
107 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
69 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
273 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 ...
3
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1answer
162 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
111 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
245 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
36 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
94 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
64 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 P_{14}}{\...
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1answer
116 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
133 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
95 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); (2)^2(...