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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0answers
20 views

moving frame with maple

I have already ask this question on stackoverflow, but since it concerns as mathematics than computer science, I ask it here too. I would like to make a classical computation using maple. I would ...
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1answer
29 views

Maple plot the $l^p$ balls: $\{(x,y) \mid |x|^p + |y|^p \le 1\}$ for $p = 1,…,10$

I have been asked to construct this plot in maple for an analysis assignment. I have been given no other instructions on how to do this. I am not familiar at all with defining or plotting these kinds ...
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1answer
28 views

Difference for summation in maple

When calculate the differential respect to $x$ with Maple, I got this result. $$\frac{d^4x^\lambda}{dx^4} = \frac{x^\lambda\cdot \lambda\cdot(\lambda-1)\cdot(\lambda-2)\cdot(\lambda-3)}{x^4}$$ Is ...
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0answers
16 views

What will be the maple code to find the values of the exponents of the given function?

I have a mathematical expression of the form $$f(m)=A-B*\left(\frac{m+1}{\psi}+\frac{K1*(1-\beta^{m+1})+K2*\alpha^{m-1}}{K3*\alpha^{m-1}}\right),$$ where $A,B,\psi,K1,K2,K3,\alpha,\beta$ are ...
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1answer
46 views

How to find root 0f $(1+a)\left(1-\frac{a}{\sqrt{e}}\int_{0}^{1}x^{a-1}\exp\left\{-\frac{x\ln x}{2(1-x)}\right\}\,{\rm d}x\right)-0.5$?

I tried to find root of equation $f(a)-0.5=0$ using the Maple, where $$f(a)=(1+a)\left(1-\frac{a}{\sqrt{e}}\int_{0}^{1}x^{a-1}\exp\left\{-\frac{x\ln x}{2(1-x)}\right\}\,{\rm d}x\right),~~a>0.$$ Can ...
0
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1answer
53 views

How to plot $(1+a)\left(1-\frac{a}{\sqrt{e}}\int_{0}^{1}x^{a-1}\exp\left\{-\frac{x\ln x}{2(1-x)}\right\}\,{\rm d}x\right)$?

I tried to plot following function using the Maple. But I can not observe the result. Can you help me? $$f(a)=(1+a)\left(1-\frac{a}{\sqrt{e}}\int_{0}^{1}x^{a-1}\exp\left\{-\frac{x\ln ...
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1answer
57 views

Empty result set on `pdsolve` in Maple

I'm trying to solve the following: $$ U_{xy}=\sin (x) \cos (y) $$ given boundary conditions $u_x(y=\frac{\pi}{2})=2x$ and $u(x=\pi)=2 \sin(y)$. I'm feeding these into Maple as follows: ...
1
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2answers
58 views

Exponential Integral difference between Maple and Matlab

I try to calculate this exponential integral: $$\int_0^1 \exp(\exp(-s))ds.$$ I obtained different results in Maple: and Matlab: Which is correct?
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3answers
40 views

How to solve the following system of partial differential equations?

I have a system of partial differential equations: \begin{align} & u(a,b,c) \frac{\partial y}{\partial c} = \frac{4}{3} ab, \\ & u(a,b,c) \frac{\partial y}{\partial b} = \frac{2}{3} ac + 2 ...
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1answer
30 views

Maple solving inequalities within a range

I have no troubles to solve an inequality using this command: solve(df(x) > 0, x) However, I need to solve it within a specified range (-1..1). Is that ...
0
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1answer
24 views

Recursive Functions in Maple

I'm trying to input the following recursive function into Maple but am not sure how? The recursive equations are as follows: \begin{align} h(2n)&=h(n),\\ h(4n+1)&= h(2n+1)+h(n), \\ ...
1
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0answers
47 views

Maple and WolframAlpha return different results

I solved the integral of u/(1-u) by hand and found as result -ln(1-u) - u + constant. Now, when I evaluate this integral with WolframAlpha, I get the same result. But when I evaluate it with Maple, it ...
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2answers
50 views

how to find derivative

It is necessary for me to find $\Delta^2 u=u_{xxxx}+u_{yyyy}+2u_{xxyy}$ where $u=u(r,t).$ I tried by the following but got an error in Maple. $$x:=rcos(t);~y:=rsin(t);$$ then tried to find ...
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1answer
97 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 ...
0
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1answer
31 views

How to simplify expression through assumption of an equation

I want to use MAPLE, a software which is useful to solve symbolic equations. I am new to the MAPLE and I finally reached to implement what I wanted. I have a really difficult expression and I would ...
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0answers
11 views

Sorting several terms in differential equations

I do a lot of work in symmetry analysis of differential equations, and often I am tasked with writing up sets of determining equations with several terms. Is there a way to tell Maple to sort the ...
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2answers
13 views

Try to obtain the exponent of a variable in Maple.

Are there some function $f$ in Maple such that $f(K[1,2]^{1/3}) = 1/3$? Any help will be greatly appreciated!
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2answers
22 views

“Invalid sequence” in Maple

I tried to define a procedure in Maple as follows. removeAnElementInList:=proc(i, l) local r, j; r:=[]; for j from 1 to lengthOfList(l) do ( if(j<>i) then r:=append(r, l[j]) end if ) ...
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0answers
26 views

How to obtain $K$ in $K[1,2]$ in Maple?

I would like to obtain the letter $K$ from $K[1,2]$ in Maple. I tried to use op(K[1, 2]). But I get $[1,2]$. Are there some function $f$ in Maple such that $f(K[1,2]) = K$? Any help will be greatly ...
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7answers
547 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 ...
0
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1answer
29 views

evalf integration with multiple free constants

How to get numeric value of integration: eq:=int(c*x^(4/5)*exp((1+x)^(1/7)),x=1..2) I tried to do: ...
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1answer
19 views

Using rsolve in Maple

I have tried using rsolve in Maple to obtain a recursion formula from an ordinary differential equation with summations. I get Is there some reason for Maple ...
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1answer
35 views

Solving a nonlinear algebraic system representing the equilibrium of a system of ODEs

Given the following system: $$ a_1+(a_3+a_4)V-a_5WX = 0 \\ (a_7+a_4)Y-a_6WZ = 0 \\ a_2-W(a_4+a_5X+a_6Z)+(a_3+a_8)V+a_7Y = 0 \\ a_5WX-(a_3+a_8+a_4)V = 0 \\ a_6WZ-(a_7+a_4)Y = 0 $$ where $a_1$ to ...
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0answers
44 views

What is an equivalent version of maple software in linux?

What is an equivalent version of maple software in linux? From the comment by james, I am editing this post. Maple is not a free version as i have searched in google. I need equivalent ...
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1answer
24 views

Maple combstruct

How do I implement pointing in Maple with combstruct? I'm writing a symbolic generating function and I need to do something along the lines of A = Point(B) where Point would be a pointing operation, ...
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1answer
54 views

Solving a small system of nonlinear ODEs to identify parameter regime

Given the following system of nonlinear ODEs: $$\dfrac{dx}{dt} = Q-qxy + \ell z \\ \dfrac{dy}{dt} = (\ell+v)z - qxy \\ \dfrac{dz}{dt} = qxy - (\ell+v)z $$ and initial conditions: $x(0) = 100, ...
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1answer
52 views

Solve nonlinear systems of trigonometric equations

I face the challenge to solve systems of nonlinear equations including trigonometric functions like this one: $$ y_1 = x_1 \\ y_2 = x_2 \\ \dot{y}_1 = u_1 \cos(x_3) \\ \dot{y}_2 = u_1 \sin(x_3) \\ ...
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1answer
52 views

factorizing polynomials over finite fields using maple and maxima [closed]

Can you factorize polynomials over certain finite fields using maple or maxima, and if so, how?
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1answer
40 views

“Error, (in Student:-calculus1:-roots) Cannot determine if this expression is true or false” [closed]

So I am trying to do the calculation which states: intervalsolve(sin(t) = .7, t = 0 .. 4*PI) but whenever I do it, I get the error which says: ...
0
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1answer
56 views

Maple summation notation issue: differentiating with respect to an indexed value

I am trying to solve a summation equation, for the derivative with respect to x[0], where x is a vector of numbers. If I try something like this: diff(sum(x[k]*f(k), k = 0 .. m)+sum(x[s]*f(s^2), s = ...
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1answer
19 views

Maple system of equations in matrix

I have three matrices A, B and C. Set of equations like this: $A\cdot B=C$ And I know what A and C are, but I'm looking for B. Sorry for beginner question, but I'm trying to do this entire noon and ...
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2answers
104 views

How to represent this matlab code in mathematical notation?

I have this code in matlab: z = linspace(d1,d2,n)*W/t; I am wondering how to express this operation in mathematical notation? I was thinking of something like ...
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0answers
42 views

Solving System of Equations in MAPLE

I am trying to solve a system of equations in MAPLE. This is the procedure I'm trying to follow: Guess the solution is a polynomial with constants that still need to be determined. Specify ...
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1answer
33 views

Error, (in sum) summation variable previously assigned

Assume that I have a function like this func1 := proc (a) return sum(i, i=1..a); end proc; This function works as long as I don't define a global variable ...
0
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1answer
85 views

Maple double sums: summation order

Suppose we want to compute $$\sum_{k=0}^1 \sum_{j=0}^{2k}{ 2 \choose 2k-j}{2 \choose j}=7$$ with Maple (I picked this trivial example only as an illustration).I always thought that the order of ...
2
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1answer
42 views

How can one sort a list of complex numbers in increasing order with respect to their imaginary part in Maple?

I am a beginner at Maple and am attempting to use the sort function to order a list of complex numbers according to their imaginary part, however I can find no function options that help. Will I have ...
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1answer
14 views

Maple zeroth entry of list or some other data structure?

Is it possible to change the structure of a list such that the $1$st element becomes the $0$th? That is, if $x$ is a list then $x[0]$ calls the first element of $x$. I am writing some pseudo-codes in ...
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1answer
34 views

how to ensure system of polynomials have only one unique set of roots [closed]

when design system of polynomials, after solve it, it return two or more set of roots solve({f1=s,f2=s,f3=s}) {[a=1,b=2,c=s] , [a=3,b=4,c=s]} there are two possible set of roots first set is a=1, ...
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1answer
45 views

Cubic polynomial and its discriminant

I'm taking a class that is having me research a topic and write a report on it. The assignment is to analyze the relationship between quadratic and cubic polynomials and their discriminants. In an ...
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1answer
65 views

Maple - plotting error

I want to plot the following function in Maple 18. p := (x, x0, w) -> exp(-(1/2)*(x-x0)^2/w^2)/sqrt(w*sqrt(pi)) and am attempting to plot it using the ...
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1answer
55 views

mathematica / maple

I have an expression of products and divisions of q-binomials. I want to check if the expression is always greater than 1. Is there a way I can do that with matlab/ mathematica/ maple?
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2answers
45 views

Help with grouping terms (maple)

I want to collect "coefficients" of polynomial over $x$ in some power, e.g.: $p:=a \cdot x^3 + b \cdot x^2 + c \cdot x + d$ $collect(p, x^2) = (a\cdot x+b)\cdot x^2 + (c\cdot x+d)$ and extract ...
2
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1answer
75 views

Help me calculate with maple the gcd of two polynomials

I can't calculate the gcd of two polynomials $x^2 + (\beta^3 +1)x + \beta^4 + \beta^3 + \beta^2 + \beta$ and $(\beta^5 + \beta^3 + 1)x + \beta^5 + \beta^3 + \beta^2$ where beta is the root of $x^6 + x ...
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1answer
38 views

Identify terms in an expression (Maple)|

How hard is to program that given a symbolic expression like $$ f = x^2 + y^2 + k \, , $$ I could teach to Maple that $x^2 + y^2 = r^2$ and then it expresses f like $$ f = r^2 + k \, ? $$ Of course ...
2
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2answers
44 views

Output assigning in Maple inside for loop

I am trying to define some solutions $x_k(t)$ inside a for loop in Maple. I have tried but I get an ugly output. I have also tried x[k]:=t-> ... but it makes ...
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3answers
34 views

Finding eigenvectors in Maple gives me variables $t_2$

I have a matrix $$ A = \begin{pmatrix} 0 & -1 \\ -1 & 0 \end{pmatrix} $$ I can find eigenvectors in Maple with Eigenvectors(A) from which I get the ...
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1answer
44 views

Finding eigenvectors by hand

I can find eigenvectors by solving $$ (\mathbf{A}-\lambda \mathbf{I}) \, \mathbf{v} = \mathbf{0} $$ but isn't it the same as saying $$ \mathbf{v} = (\mathbf{A}-\lambda \mathbf{I})^{-1} \, \mathbf{0} ...
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2answers
29 views

Evaluate 'symbolic'/expanded in Maple

When I write 'x(t)'=c[1]*exp(0*t)*(cos(omega*t)*<0,1>-sin(omega*t)*<-1,0>)+c[2]*exp(0*t)*(sin(-omega*t)*<0,1>+cos(-omega*t)*<1,0>); in ...
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1answer
26 views

To find the real conjugate (Maple Procedure)

I'm trying to write a procedure which returns the real conjugate of a real number. Ex: $2 + \sqrt3 \rightarrow 2 - \sqrt3$ I tried: ...
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3answers
56 views

How to set a function value or expression over a domain in Maple

I have a function $f(x,y,z)$ and would like to impose the condition $$f(x,y,z)|_{x^2+y^2<1}=x-y$$ That is, $f$ is set to be equal to $x-y$ within the unit circle in the xy-plane. How would I ...