## Solve equation ...

Solve equation :x4-x3-3x2-x+12=0

## Graph not displaying after plot....

I am running Maple 2021 and have this plot in Differential Equation. However, It will not display the Graph.

The  general solution : y = 1.42
"exp(-0.125*t)*sin(1.41*t)"

NULL;
soln := y(t) = 1.42*exp(-0.125*t)*sin(1.41*t);
soln := y(t) = 1.42 exp(-0.125 t) sin(1.41 t)

(b) Plot y vs. t  and y' vs. t on the same axes.
Let y and dy be the right side and derivative , respectively, of soln. Graph y and dy together

## A divergent series, how to prove it....

First sorry I didn't "invent" this series.It comes from another newsgroup which I will not tell.

It is irrelevant.

My question is twofold :

How to prove it with pen and paper that it diverges

How to prove it with Maple.

Maple seems very...quiet with this series.

Thanks a lot.

Kind regards to all

Jean-Michel

## How to isolate/solve expression symbolically when ...

So i have defined some variables example:

xb=1000
yb=2500

db=5321
eb=521
and i want to solve the following symbolically without maple taking into account the variables:
eb=ab*yb*db*x

How do I force Maple to show the equation for the expression symbolically without unassigning the variables? I was thinking about local variables, but that would make the worksheet messy as the variables are used in other calculations.

Thank you.

## how to use semilogplot with odeplot...

Hi all,

how to use semilogplot here

plots[odeplot](res1, [[t, N(t)]], 0.1e-2 .. 1000, axes = boxed, tickmarks = [3, 2], color = red, thickness = 1, linestyle = solid, titlefont = [Helvetica, roman, 18], labeldirections = [horizontal, vertical], labelfont = [Helvetica, roman, 24])

## VII National Meeting of Physics Didactics

Maple 2021

Universidad Metropolitana de Ciencias de la Educación
Santiago de Chile

Derivative operator on vectors of real variable (R3): applied to curvilinear motion with Maple and MapleSim

In the present work it will be demonstrated how the derivative operator acts in functions of real variable in the movement of a particle that performs a curvilinear trajectory; using the scientific software of the Maplesoft company known by the names Maple and MapleSim, because nowadays most university teachers (higher education) do not visualize the movement of the particle in real time as well as the results of the calculations of speed and acceleration simultaneously. The objectives achieved are to use the vector operator with the help of these programs. As a theoretical tool we will use the three-dimensional vector spaces of real variable with Newton's notation. The methodology we have used was native syntax and embedded components using block diagrams. For the case of particle motion we use the graphical programming proposed by MapleSim. Viable results were achieved for motivational effects and time reduction in complex calculations without neglecting innovation in physical sciences, for teachers in higher education and university students. This work is self-sustaining via Maple Cloud.

Lenin Araujo Castillo

## Kernel and image of a linear application...

I try to find kernel and image of a application whose i know the matrix.
restart;
with(LinearAlgebra);
A := Matrix([[1, 1, 1, -1], [-1, 1, -1, -1], [1, -1, -1, -1], [-1, -1, 1, 3]]);
k := op(NullSpace(A));#kernel
MatrixVectorMultiply(A, k);#check
C := op(ColumnSpace(A));
X := <x, y, z, t>;
F := MatrixVectorMultiply(A, X) - a*C[1] - b*C[2] - c*C[2];
G := op(convert(F, list));
solve({seq(G[i] = 0, i = 1 .. 4)}, {a, b, c}); why there is no solution ? Thank you.

## fprintf plot into a docx file...

How to fprintf say a plot into a docx file in maplesoft

kind help

## Solving a set of non-linear equations returned a w...

I'm solving a set of non-linear equations:

```eqn1 := W__1 + W__2 + W__3 + W__4 = 4;
eqn1 := W__1 + W__2 + W__3 + W__4 = 4

eqn2 := W__1*zeta__1 + W__2*zeta__2 + W__3*zeta__3 + W__4*zeta__4 = 0;
eqn2 := W__1 zeta__1 + W__2 zeta__2 + W__3 zeta__3 + W__4 zeta__4 =

0

eqn3 := W__1*zeta__1^2 + W__2*zeta__2^2 + W__3*zeta__3^2 + W__4*zeta__4^2 = 2/3;
2               2               2
eqn3 := W__1 zeta__1  + W__2 zeta__2  + W__3 zeta__3

2   2
+ W__4 zeta__4  = -
3

eqn4 := W__1*zeta__1^3 + W__2*zeta__2^3 + W__3*zeta__3^3 + W__4*zeta__4^3 = 0;
3               3               3
eqn4 := W__1 zeta__1  + W__2 zeta__2  + W__3 zeta__3

3
+ W__4 zeta__4  = 0

eqn5 := W__1*zeta__1^4 + W__2*zeta__2^4 + W__3*zeta__3^4 + W__4*zeta__4^4 = 2/5;
4               4               4
eqn5 := W__1 zeta__1  + W__2 zeta__2  + W__3 zeta__3

4   2
+ W__4 zeta__4  = -
5

eqn6 := W__1*zeta__1^5 + W__2*zeta__2^5 + W__3*zeta__3^5 + W__4*zeta__4^5 = 0;
5               5               5
eqn6 := W__1 zeta__1  + W__2 zeta__2  + W__3 zeta__3

5
+ W__4 zeta__4  = 0

eqn7 := W__1*zeta__1^6 + W__2*zeta__2^6 + W__3*zeta__3^6 + W__4*zeta__4^6 = 2/7;
6               6               6
eqn7 := W__1 zeta__1  + W__2 zeta__2  + W__3 zeta__3

6   2
+ W__4 zeta__4  = -
7

eqn8 := W__1*zeta__1^7 + W__2*zeta__2^7 + W__3*zeta__3^7 + W__4*zeta__4^7 = 0;
7               7               7
eqn8 := W__1 zeta__1  + W__2 zeta__2  + W__3 zeta__3

7
+ W__4 zeta__4  = 0

solve({eqn1, eqn2, eqn3, eqn4, eqn5, eqn6, eqn7}, {W__1, W__2, W__3, W__4, zeta__1, zeta__2, zeta__3, zeta__4});
```

However, the result looks like this:

How should I obtain numerical values for W1,W2,W3,W4,zeta1,zeta2,zeta3,zeta4 ?

## How to pass in temporary values to parameters of a...

I have an array with a list of parameters. Suppose there are three parameters, t1, t2 and t3. I like to evaulate the array for different values of the parameters. I can do it manually by a command such as

eval(array, {t1=1, t2=5, t3=10})

What is a more systematic approach and how can it be done? Suppose I do not know the number of paramters in advance and the number of parameters could possible be large. Once I know the number of parameters, I would like to map a list of values to the parameters.

## Excel arctan2 ?...

Is there any equivalent to Excel function arctan2?

This function takes x and y values, and returns values from -Pi to +Pi. In that way one can easily get the x and y values of an angle with correct signs.

## Comparing Units

by: Maple

Guys, this is still the most painful thing i Maple for me, and I hope this gets a high priority for future development.

It is still not possible to compare variables, when one of them could become zero.

 (1)

 (2)

 (3)

 >

## Physics package problem with Define command...

Hello,

I have a problem regarding the physics package, which concerns, more specifically, the Define command.

It seems to be the case that it provides the wrong answer, and blatantly so, and I can't see what I am doing wrong for the life of me.

I want to build a fast way of doing coordinate transformations in general relativity, for which the basis vectors are called E[mu,~nu]. XX[~alpha] is the old coordinates expressed in terms of the new (in this case, the spherical coordinates are expressed in terms of cylindrical ones, i.e. [t,r, theta, phi]->[t, rho, phi,z].) As can be seen, only the first component in XX depends on time, but E contains weird elements (look at, for example, E[1,~2].) But when I do the calculation manually, it returns the expected results.

What am I doing wrong? I really appreciate any help you can provide.

Benzema

## Plotting multiple items...

Are there any examples showing how to plot multiple items in one plot?

• What I have started with is to put a Plot component in my sheet, so that I can use that by its name.
• Next thing on the list was to generate different plot objects, by assigning each of them to a variable.
• To plot the whole bunch, I collected all the items I want to plot in a list
• And plotted them by SetProperty("MyPlotcomponent", value, display(plotlist))

I wonder if this is the best way to do it. Especially when adding more stuff afterwards, would it be possible to just add something to the plot component?

Do I need plot components at all?

## Maple Conference starts tomorrow!

by: Maple Maple Calculator Maple Learn Maple Flow

This is my second try---my previous post about the Maple Conference  https://www.maplesoft.com/mapleconference/2021/ seems to have vanished into thin electrons.

Anyway!  The conference opens tomorrow!  There are many really interesting prerecorded talks, three live plenaries, two excellent panels, and registration is free!  See the above link.

I look forward to "seeing" you tomorrow.

Rob Corless, co-Chair of the Program Committee

on behalf of the organizers

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