MaplePrimes Questions

Hi,

I previously wrote and ran a program with Maple 2020, but I deleted Maple 2020 and now I installed 2023, but that program runs with an error.

Download sssss.mw

eta/2*diff(f, eta) + (diff(f, eta, eta) + lambda*diff(g, eta)/g)*g^lambda=0,

g*diff(g, eta) + sigma*eta*diff(g, eta)=0,here lambda,sigma positive parameters initial conditions f'(0)=0,g'(0)=0,f' goes to 1 at eta goes to infinity ,g' goes to 1 at eta goes to infinity

can you solve this coupled nonlinear differential equations  using homotopy analysis method

I need tutoring on some calculus basics.

y(x)

y(x)

(1)

diff(y(x), x)

diff(y(x), x)

(2)

(Int = int)(diff(y(x), x), x)

Int(diff(y(x), x), x) = y(x)

(3)

(Int = int)(diff(y(x), x), x = a .. b)

Int(diff(y(x), x), x = a .. b) = int(diff(y(x), x), x = a .. b)

(4)

The right-hand side below is the desired evaluation.

(`@`(value, rhs))(Int(diff(y(x), x), x = a .. b) = int(diff(y(x), x), x = a .. b)) = eval(int(diff(y(x), x), x), x = b)-(eval(int(diff(y(x), x), x), x = a))

int(diff(y(x), x), x = a .. b) = y(b)-y(a)

(5)

Download Eval_definite_integral.mw

Maple does integrate the indefinite integral but not a definite version of it.

I assume that this is not possible without additional assumptions on y(x).

I tried to assume the properties continuous and differentiable.

Anything else that can be done/assumed to force evaluation the way I want?

Here is an example of how such integrals can come about

B:=5

N:=1

R:=1/2

x = sum(R^g*product(-Br + 1 + Ng, r = 1 .. g - 1)/(B^g*g!), g = 0 .. infinity)

when i press enter it shows this

R := 1/2

1/2

(1)

B := 5

5

(2)

N := 1

1

(3)

x = sum(R^g*(product(-Br+1+Ng, r = 1 .. g-1))/(B^g*factorial(g)), g = 0 .. infinity)

x = 1/((-Br+1+Ng)*exp((1/10)*Br-1/10-(1/10)*Ng))

(4)

``

Download brn.mw

I need him to show it

x=1.090970406879337658

I would like to write this equation:

That is a symbol that I want to be able to use (the S can be added after inserting the symbol). Sometimes, this helps the students to comprehend what they are doing. It could be added the symbols for double and triple integral. So it is some kind of suggestion, but for the moment, it is the actual symbol I would like to have.

I think that I could write it in LaTeX but I don't know if I can do it in Maple and ask him to convert it inside the document.

Thank you in advance for your help.

Hello everyone.

I want to  choose the  numbers among the list A which are for example congruent to 1 mod 3

A = {3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101}

Hi,

I want to create graphical charts, but I'm having trouble with the Tabulate command. Any ideas? Thank you.

FicheGraphique.mw

Hello everyone. 

I have the followinf code but when I try to plot I am receiver an error. Please, someone coulg give me a hint?

A := 20

B := 10.37

P := 60*24*60

omega := 2*Pi/P

alpha := 0.7*10^(-6)

phi := 3.61

Profundidade := 0.1;

ntotal := 1

theta(z, t, k, C) :=A + sum(B*exp(z*sqrt(1/2*omega*m*C/k))*sin(omega*m*t - z*sqrt(1/2*omega*m*C/k) + phi), m = 1 .. 5);

SensibilidadeK := (z, t, k, C) -> diff(theta(z, t, 1, 1), k);
GrafE := plot(eval(SensibilidadeK*(Profundidade, t, k, C), [k = 1, C = 1]), t = 0 .. 86400, color = blue, legend = k, labels = ["Tempo [s]", "Coeficiente de Sensibilidade"], labeldirections = ["horizontal", "vertical"])

this is the error that I received: Warning, expecting only range variable t in expression SensibilidadeK*(.1, t, 1, 1) to be plotted but found name SensibilidadeK

I cannot view 3d graphics with my version of Ubuntu 20.04. I've updated all my computer's graphics card drivers and the problem persists. If I run without hardware acceleration, nothing changes; no visualization and no production possible.
Do you have any ideas for solving this problem? Maple uses OpenGL libraries for 3D production and visualization, and these libraries are installed on my computer. Would installing mesa solve the problem, for example?

Thanks in advance.

I try to understand why Maple throws 2 times an error but on a third attempt (with the same input) output is returned. Is that a new mechanism of suppression of error or warning messages and returning output up to a point where evaluation cannot further be performed.

With -sin instead of cos Maple returns output immediately. Does this mean that there is no information to the user available (yet) for this particular case?

three_times_entering_the_same.mw

I want to get from equation 27 to equation 30?

And then solve equation 30? (by inserting the 31 and 7 relations and the 8 relations)

latt01.docx

A very easy example: 

solve({a > 0, ln(a) + ln(1 + a) >= 0}, a);
 = 
                        /    2         \ 
                        |---------- < a| 
                       <  (1/2)         >
                        |5      + 1    | 
                        \              / 

The output is . Clearly,  is also a solution to this inequality, so the solutions have been lost. But there is no warning message. Why?

Respected fellows, greetings!
I wonder if there is a way to increase the length of the legend in maple? I can easily do it in mathematica but I failed to find a way to do the same in maple. It would be so nice if someone could guide me about that please.

hello, mybe someone can help me to make an estimation parameter use data to diferential equation system. I had have made the maple sheet but there are some error, thank you very much. data_fitting_.mw

Dear all

I would like if we can solve a problem of a  field homomorphism between two fields. 

Please, if possible a code that help me to define the homomorphism between finite field. 

homomorphism_finite_field.mw

Thank you 

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