## convert RootOf expression to actual analytic solut...

I have big expressions containing RootOf() which are however pretty simple.

For example something like

RootOf(x^2+1,x)

Is it possible to convert this later into the actual solution? e.g. +-*I ??

## Solve a system of algebraic equations...

I want to solve the following algebraic equation system using solve command. But, it gives only the trivial solution. I want to find a,b and c in terms of k. k is a constant here. Thanks in advance.

Input:

```solve({-6*c+(3/2)*c^2-2*b-3*b*c+(3/2)*b^2-3*a*c+(k^2)*b-b+(3/2)*(a^2)+(k^2)*a-a=0,
-2*b-3*b*c+3*(b^2)-6*a*c+2*(k^2)*c-2*c-9*a*b+3*(k^2)*b-3*b+6*(a^2)+4*(k^2)*a-4*a=0,
(3/2)*(b^2)-3*a*c+(k^2)*c-c-9*a*b+3*(k^2)*b-3*b+9*(a^2)+6*(k^2)*a-a=0,
-3*a*b+(k^2)*b-b+6*(a^2)+4*(k^2)*a-4*a=0,
(3/2)*(a^2)+(k^2)*a-a=0},{a,b,c});```

Output:

`{a=0, b=0, c=0}`

## Cut of Errorfunction...

I'm currently wondering about the cut I'm looking for in the following worksheet.

I evaluate it in 2 ways but get different answers. Any idea what the problem here is?

Thanks

 >
 >

## Error in parial differential equations....

Hello everyone!

I want to solve a pde and create a matrix. But unfortunately, an error is formed.

Please, someone help me to remove that error.

Here, I am attaching a mapple file.

pde_solu.mw

## Newton's method or Bisection method of a function ...

Hello,

How to write the Newton's method and Bisection method in Maple of a function depending on a parameter ? The goal is to solve the equation F(y, eta) = 0 and find the root y(eta) using the Newton's method or Bisection method. An example is attached.

Thank you

## Phase Portraits in Maple...

I am wanting to plot a phase portrait of du/dt against u.

I have attempted to draw this on maple however am having great difficulty. Can anyone recommend what I may be doing wrong or how I should go about doing this?

## How can remove the redundant inequalities for defi...

Hi Dears,

Let us consider the following polyhedral cone which is defined by 8 inequalities (also, x,y,z ≥0):

1. y-z ≥0

2. 3y-2z ≥0

3. 2y-2z ≥0

4. x-2y+z ≥0

5. x-y ≥0

6. 2x-y ≥0

7. x-z ≥0

8. x+y-z ≥0.

How can we deduce that the inequalities 3 and 4 may be define this polyhedral cone and the others are redundant?

How can remove the redundant inequalities for defining this polyhedral cone?

Is there any Maple command or function that recive these 8 inequalities and return inequalities 3 and 4? In fact, inequalities 3 and 4 are facets of this polyhedral cone.

Sincerely yours

## How to solve the problem about VRPTW?...

Hi, I do not understand how to solve errors in MAPLE on my project. My project is to solve Vehicle Routing Problem with Time Windows, and then the error is "Error, (in Optimization: -LPSolve) no feasible integer point found; use feasibilitytolerance option to adjust tolerance". I do not understand about feasibilitytolerance. Can anyone help me? Thankyou.

 >
 >
 (1)
 >
 (2)
 >
 (3)
 >
 (4)
 >
 >
 (5)
 >
 (6)
 >
 (7)
 >
 (8)
 >
 (9)
 >
 (10)
 >
 (11)
 >
 (12)
 >
 (13)
 >
 (14)
 >
 (15)
 >
 (16)
 >
 (17)
 >
 (18)
 >
 (19)
 >
 >
 >
 (20)
 >
 (21)
 >

 >
 >
 >
 >

## Verify sum and integral...

Hi all,

I am totally stuck in the question:

I can do it for seperate cases, but how to do it, with somekind of sequence

Integral for x= 0 to infinity of [2 sin(x/2)/x] ^ 2n

this has to be equal to:

2n* pi (sum of [(-1)^j * (n-j)^(2n-1)] / [j! * (2n-j)!]

I showed it for j=0 and n=1

But how to do it for n =1,2,3 and 4

## what package I need to add in order to use command...

what package I need to add in order to use commands named "Drawmatrix, Translatemat and Transform" ? I add package named Lamp but it is not working. I have maple 15. Please try to respond as soon as possible because its urgent.

Thank you

## Problem to evaluate inverse transfrom...

Hello dear!

Hope everyone is fine. I am facing problem to fins the inverse transfrom in the attached file. Please find the attachment and fix the problem. Thanks in advance

Help.mw

## Congruent subsquares...

Dears,

Let C a square in the n-diemnsional Euclidean space. Somebody know how to divide C into 2^{n} congruent subsquares?

For instance, for n=2 and  say C:=[0,1]x[0,1], the unit closed square, we will obtain the 2^{2}=4 subsquares [0,1/4]x[0,1/4], [0,1/4]x[1/2], [1/2,1]x[0,1/4] and [1/2,1]x[1/2,1].

## Want to draw of the graph of system of PDEs...

Dear all

Hope everything is fine with everything. I want to draw the graph of the u(x,0.5) and T(x,0.5) for different values of alpha like alpha =0.4,0.6,0.8 while keeping Gr, R and Pr are fixed. Please solve the following problem I shall be vary thankful to you. Thanks in advance

with the following BCs

## Want to plot a set of points...

Hello dearz.

Hope you will be fine with everything. I am facing in plotting the set of points like seq(u[i,20] \$ i=1..25) in the attached file. Please see the problem and fix it. I shall be vary thankful. Waiting quick and positive response.

## How to make a taylor approximation of order 3...

I want to find an approximation for a 3-dim vector y(t)=(y1,y2,y3) at multiple times t, so as to get:

y(t1)=[b0,0,0](y1(t1))^0(y2(t1))^0(y3(t1))^0 + [b0,0,1](y1(t1))^0(y2(t1))^0(y3(t1))^1 + ... + [b3,0,0](y1(t1))^3(y2(t1))^0(y3(t1))^0

y(t2)=[b0,0,0](y1(t2))^0(y2(t2))^0(y3(t2))^0 + [b0,0,1](y1(t2))^0(y2(t2))^0(y3(t2))^1 + ... + [b3,0,0](y1(t2))^3(y2(t2))^0(y3(t2))^0

...

So I want 20 b coefficients with quaternary-base subscripts (I belive it is called) for multiple values of t.

I want to have enough approximations to solve for the the coefficients b and then perform a Least Squares method Calculation thereafter.