## Trying to Integrate a functional derivative under ...

After loading the Physics package, I have define the langragian L this way:

L:=sqrt((1+(y')^2)/y)

After some algebra, I get the following integral:

((1+(y'(x))^2)^(-1)*1/y(x) = C

At that stage, I would like to isolate the term y'(x) and do the change of variable. But since I am under the Physics package, I try to isolate it with no succes and worst if I try to change the variable first. A little help would be appreciate.

Mario

Maple 2022 under Windows

## How do I solve a nonlinear (overdetermined) system...

Hello,

I have a nonlinear system of 12 SYMBOLIC equations in 6 variables. I am using solve() but it's taking me ages and will probably return the "Kernel connection has been lost" error after a half-day/ a day.

How do I solve it? Is it even possible to solve it? Is there a way to solve it approximately?

Thanks

## Why this procedure does not work to get the numeri...

Where is the problem within this procedure which I can not get the numerical values of V[1] , V[2], ...

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## difficulty wirth rotation...

fig([L1(color = blue), L2(color = blue), L3(color = green), C1(color = black), C2(color = black), C3(color = orange), C4(color = orange)]);
point(oo, [0, 0]);
oo

rotation(fig1, fig, oo, Pi/2, 'counterclockwise');
Error, (in geometry:-rotation) wrong type of arguments why thos error ? Thank you;

## How to create a function that takes as function or...

q := (f)->local ff := `if`(type(f,procedure),f,`x`->f); ff(z + (ff(k))):

Trying to create something so that I can do q(x) or q(x->x^2) or whatever.

Trying to understand the difference between an expression and a function as represented by maple. I thought I could just turn whatever is passed to q, such as x*cos(x) in to a function by x->x*cos(x) as one would do normally but this does not work.

## How to collect the coeffects from the equation ...

How_to_collect_Coefficent.mw

Kindly help me to find the coefficients from the equation. I have attached the MAPLE file here.

Thank You

## substitute sublists...

Is there any easy way to do subs([a,b,c]=x, [2,4,5,1,a,4,5,a,b,434,a,b,c,5,5,5,1]) = [2,4,5,1,a,4,5,a,b,434,x,5,5,5,1]

and another way to get [2,4,5,1,a,4,5,a,b,434,x,b,c,5,5,5,1]

The first subsitutes the entire match and the second substitutes when matches but only for first element.

I know I can write routines to do this and will after posting this but is there a native way that is simple?

## Layout by table ?...

Hi,

I try to enrich the layout of my documents by tables like that of trigonometric numbers. Is there a way to make it simpler? without going through the encoding of all values.Thanks

TableauTest.mw

## How can a patch on the surface of a sphere display...

The worksheet below displays a sphere with a surface patch defined by the arcs of three intersecting circles on the sphere's surface.

How can the patch be colored differently from the non-patch sphere's surface?

Patch_on_a_Sphere.mw

## skipping time consuming calculations in a loop...

I am looping over a list of functions to calculate various properties of the said functions. some of these calculations take too long. I was wondering if there was a way to skip to the next element of the loop if a calculation takes more than a specific time.

## I looking to buy maple latest edition...

I looking to contact a maple sales representative. I am from india I am not getting any contact number. Can anyone help.

Kind help anyone if possible. I do research in mathematics  field but at a personal level. I need help on which product to buy and a sales represitive number or someone to contact me so that i can first understand certain doubts from my personal end then I can opt for.

## Solving PDE for a function of a function....

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I need to solve a system of coupled partial differential equations. I would like to search for a function of 4 variables but such that two of the variables only appear in a particular combination.

F(theta,r, phi*(a^2+r^2)-at).

Is there a way to enforce this?

## How loops with multiple lines?...

I'm trying to put a relatively elaborate peace of code in a loop, but can't figure out how to have multiple lines. Each command separated by ';' is awkward and seems to cause me to make even more typos then normal and it's hard to read the code.

Is there a way to have command on separate lines with in a loop?

-Arthur

## ifactor of large integers...

I used Maple to factor (using ifactor) the number 10^128 + 1.  Maple produced the factors in a matter of seconds.

One of the factors had 116 digits.  I then restarted Maple and executed the command ifactor(X) where X was the

factor with 116 digits.  Maple found the number was prime instantly.  I do not understand how one can determine

that a number  with 116 digits is prime in less than a second.  My guess is that Maple has stored some large primes.

Also I used  Maple to factor (10^128+3) and I turned the program off because it was taking forever.

## How to plot this Equation in Runge-Kutta 4th-5th O...

I am trying to solve this equation in RK Method 4th-5th Order but the following error keeps happening.Please help me to solve this equations.
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