I want to calculate the Noether Symmetries from the Lagrangian. Is there any built-in Maple cammad to  where i just put the lagrangian and get the determining PDEs and calculate the Noether Symmetries?

Hello everyone!

I made an integration and it gave me a really long answer. The answer of the book is the same, as you can see, i "smartplotted" the two answers, and they are the same. But how do i get the nice short answer? I tried a lot of different things, but nothing gave me that short answer. 

I would really like to be able to get nice short answers, while it will really clean things up. 

Thank you!

Greetings,

The Function

Download Question_for_maple_primes_6.mw

I want to know how to remove an error message from the last line of using Maple.  I must have made some kind of error, but I want to move on but I can't get past the error message.  How can I remove the error message.  I have tried using "restart" but nothing happened.  I'm stuck until I clear this error message from the last line of my worksheet.  Can you help please?

Thanks

Dave

PS: as you can guess I'm pretty new to Maple.

Download numboccur.mwnumboccur.mw

Hello everbody! 

Ive got a question about my dutch math book, and why it thinks its answer is better than mine. 

It is question c. the integral that is covers the x value from 4 to 6 for f(x). 

I would think that means the integral of 1 to 6 - the integral of 1-4, and thus 4-7=-3. Now i dont know how they thought about getting a smaller area under the function with a larger domain of x, so i am not sure what is going on. Im not even sure if what they ask is possible. The book gave 3 as an answer. My answer was -3. Looking at it, and thinking about it. It may not even be possible. 

Any way, that is the question. 

Picture 2 shows the rules, picture 3 shows the answers of the book. 

Thank you!

Greetings,

The function

Download Question_for_maple_primes_5.mw

Let f(x) = x³+9x²-9x-1/x⁴+1

Find the equations of the 4 lines having slope 0.5 that are tangent to the graph of 𝑓(𝑥) (first find the values of 𝑥 where 𝑓 ′(𝑥) = 0.5).

Hello there,
I'm currently working on a school-related assignment, where I have to put two functions equal each other to find their crossing point. My issue is, that these two functions are waves, and continiue into infinite.
If I put them equal as this, my document crashes:
f(x) = g(x)

My question is then, if I can put some requirement to Maple, so it only calculates from significant X-intervals

elctroWav.mw have the equation 1 :

eq1 := 2*m*(E + e0^2/(rb*rho))*g(rho, t)*(-rb*rho + R)/(h^2*R) + R*(diff(g(rho, t), rho, rho)*(-rb*rho + R)/R - 2*diff(g(rho, t), rho)*rb/R)/(rb^3*rho) - diff(g(rho, t), t, t)*(-rb*rho + R)/(a^2*c^2*R) = 0;

with iv1:

iv1 := D[1](g)(0, 0) - g(0, 0)*rb/R = rb*R, g(1, 0)*(R - rb)/R = 0, D[2](g)(rb, 0) = a*c;

As in maple document electroWav.mw

The issue is that there is an unsolved part with RootOf how can I rezolve it?

-R*h^2*RootOf(AiryBi(-(R*_Z^3*h^2 + 2*e0^2*m*rb^2)/(_Z^2*R*h^2)))^3

Please advice...

restart;In this code "add" is a trouble.
A := Matrix([[1, 2, 1, 3], [1, 1, 2, 1], [1, -2, 5, -11]]);
cs := LinearAlgebra:-ColumnSpace(A);
cnames := [seq(c || j, j = 1 .. numelems(cs))];
cvals := seq(solve([entries(A[() .. (), k] -~ add(`*`~(cnames, cs)), 'nolist')], cnames)[], k = 1 .. op([1, 2], A));
seq(add*rhs~(cvals[k]) *~ cs, k = 1 .. op([1, 2], A));
add does not play its role. Why. Thank you.

Is there an easy command to generate the edge sets of of all connected graphs for a given number of vertices? Ideally, I'd like to output to be of the form (e.g.)

G={{1,2},{2,3},{1,3},{1,4}};

text text text text;

text1 text1;

so that I can easily copy it into another program to be read. Or, is there a way that I can produce an output like the following (e.g. for n=3)

G={{1,2},{2,3}};

text text text text;

text1 text1;

G={{1,2},{2,3},{1,3}};

text text text text;

text1 text1;

and have it export to a text file?

The timelimit command of Maple can be used to do a computation if it uses less than a given amount of time, otherwise generating an error message that can be cought by try ... catch. Now my question is that there exists any similar command, but with a limitation on memory usage, not the time usage. I don't mean what datalimit in kernelopts can does, because I am not going to limit the memory usage of the whole Maple session, but just a command which may be used inside a larger procedure etc.

Hello.

I wrote some codes for solving equations in a special way. My codes work very fine when my differential system has only one equation.

But when I extend it to a system that has two or more equations, sometimes does not work and I face with error. However, in one system (2 eq) it also works. But it is only a special case. If you want, I can upload it here as well.

I am attaching the maple file containing the error. You can observe it. 

By examining many cases, I think that maybe the root of the problem is that I must change my codes in a way that they are for a "system". Indeed, instead of writing codes for each differential equation, I must define a system and write these codes for a system containing some differential equations.
However, I think that the boundary conditions sometimes also may be the root of the error.

I change the attached codes for this purpose, but I failed. I prefer to not present my wrong codes for this purpose. 

If it is possible, help me to change my codes.

Thanks a lot.

ERROR.mw

Solve equation :x⁴-x³-3x²-x+12=0

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

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.