## List monomials in a polynomial, each as a coeffici...

Given a polynomial, e.g. 3*x^2 + a*x*y + b*y^2, is there some built-in function which can give me a list of monomials, with each monomial represented as [coefficient, [exponent_of_x, exponent_of_y]] ? The above polynomial would turn into something like [ [3, [2,0]], [a, [1,1]], [b, [0,2]] ].

It's not difficult to write this procedure from scratch. The procedure would require two arguments: (1) the polynomial itself, (2) which symbols are considered variables (in the above case, x and y). The remaining variables, a and b, would then be treated as constants that appear as coefficients. But I'm wondering if there's a built-in function I can just use.

## Solving 2nd order ode with sin and cos terms...

Hi everyone, Could you help me to get a general solution to the following ode? Here rho and z are constants.

 >
 (1)
 >
 (2)
 >

Thanks.

## Benders Decomposition in Maple ...

Does maple software support Benders decomposition technique for Mixed Integer Linear Programming? If no, how we can implement it in maple? Any suggestions.

Thank you

## How to draw Contour plot for the given data...

x := [0, 1, 2, 3, 4, 0, 1, 2, 3, 4, 0, 1, 2, 3, 4, 0, 1, 2, 3, 4, 0, 1, 2, 3, 4]

y := [0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4]
z := [0, 0, 0, 0, 0, 0, .689376362, 1.378752724, 2.068129087, 2.757505449, 0, 1.02920355, 2.0584071, 3.087610649, 4.116814199, 0, 1.216469264, 2.432938529, 3.649407793, 4.865877057, 0, 1.325720912, 2.651441823, 3.977162735, 5.302883646]

How to plot the contour plot for the given data

## How to write values in the contour....

i want that maple show the value on countor plot like this

with(plots)

contourplot(x*y/486, x = -h/2 .. h/2, y = -a/2 .. a/2, filledregions = true)

## How can I construct the difference table using the...

Dear Users! Hope everyone is fine here. I have some points x_0,x_1,..,x_N and corresponding to these number have values y_0, _1, ..., y_N as,

restart
a := 1; b := 5; h := 1; f := 1/x; N := (b-a)/h;
for i from 0 while i <= N do x[i] := h*i+a; y[i] := eval(f, x = x[i]) end do;

Now I want to develope the following difference table using the values of y_0, y_1, ..., y_N as,

where difference column generated using the following concept

## How do I solve second order equations and obtain r...

I have been studying the solutions of the equation below using Maple and Mathematica.

$\large 4a_{02}^2+4ka_{02}a_{11}+k^2a_{11}^{2}+4b_{02}^{2}+4kb_{02}b_{11}+k^{2}b_{11}^{2}=0$

Here, I want to express the solutions for k. In Maple, the solution is imaginary. As one may see below.

On the other hand, if one solves that  exact equation with Mathematica, then one has real solutions. That is,

$\large k_{1,2}=\frac{1}{a_{11}^{2}+b_{11}^{2}}2\left(-a_{02}a_{11}-b_{02}b_{11}\pm\sqrt{-a_{11}^{2}b_{02}^{2}+2a_{02}a_{11}b_{02}b_{11}-a_{02}^2b_{11}^2}\right)$

Based on the above, I have a few questions:

1. What is the correct solution for the first equation above? That is, are the solutions real or complex?

2. How may I obtain the real solutions, k_{1,2}, above using Maple?

Attached below you may find my mwfile with my doubts.

Mydoubts.mw

## how to Export plots...

hello,

i want to export Export plots to jpg,

im using the following command (example of the idea) :

>for i from 1 to 5 do

fig:=plot(x*i,x=0..10):
Export("Fig.jpg", plot(sin), base = homedir):
od:

how do i make the export aumaticly change the name of the distany file - like Fig[i] or somthing so it wont run it over each iteration.
writing Fig[i] in the command does not work.

## executing columns in a Table in parallel ...

hello
i have a Table in my worksheet;

it countains 3 coulmns, and each coulmns cointains a loop that requires about a day to evaluate.

is there a way to excute the 3 coulmns in parallel, there is no interaction between them and i cant seprete them into different worksheets.

## Maple 2021 slow...

Anyone experience a delay in typing as the screen fills with text/math etc.?

I'm using Maple 2021 and as the space is filled typing slows. I can finish typing and watch the last 4 keys enter on the screen.

## Problem running xmaple 2021.2 in Ubuntu 20.04...

Since approximately a week ago, probably after some Ubuntu update, the xmaple 2021.2 interface started to crash after some simple commands, without any error message or log. I tried to run with java (open-jdk) 11 and 8, and I had the same problem. I still have an old 2017.3 version, and it works perfectly. The problem only affects the new Maple release.

Is there some bug report? What can I do?

## I have a problem with the "Diff" command....

Hi !

Looks like there is a bug in the inert "Diff" command.

I have Maple 2018 on Windows 10 ,64 bits.

Does Maple consider Diff(f(x),x) to be equal to Diff(f(x),[x]) ?

It should be the same.

Maple displays  that it is equal but keeps in memory something else.

In the attached file, I give a very simple example.

I don't like to say this but my old version of Maple V Release V (1997) is more consistent i.e.

this version shows it's different and  keeps in memory that difference.

diff-problem.mw

I wonder if newer versions have this problem ?

Best regards !

## How does fsolve work?...

When using the built-in fsolve function to find the roots of a polynomial, how does exponentiation occur? For example, x3 is found​​​​​​first, and then to find x4, will he start again from the beginning, that is, x*x*x*x, or will he take the value of x3​​​​​​ and multiply by x? The teacher is interested in finding out this, but I don't know how to find out myself.

## Why Maple can't put correct differentiate? Or did ...

Hello guys,

I try at the moment to solve this terms:

The function is: f(x,y)=2x2-3xy-(y+2)3+5

1. diff(2*x^2 - 3*xy - (y + 2)^3 + 5, x) = 4x output but this is wrong. The correct output is 4x -3y

2.diff(2*x^2 - 3*xy - (y + 2)^3 + 5, y) = -3*(y + 2)^2 that also wrong. The correct output is -3(x+(y+2)2 )

THX a lot