Maple Questions and Posts

These are Posts and Questions associated with the product, Maple

Hello,

 

I have a function:

v0(t) = -g*t-vs*ln(r*t-m0)+vs*ln(-m0)

This function should be equal to 300, but when using fsolve we get a negative real part, and a very small imaginary part:

We have already made a plot of the function, and from that we see that the t should be about 65 when v0(t)= 300.

 

What are we doing wrong?

Is there a way to extract the data from the graph?

There is an example in the help of maple, that is to solve the symmetries of the equation ut=uxx using the order "Infinitesimals".

But the result i can't understand.

I solved by hand and find  _eta[u](x, t, u)=cu+b(x,t), where b(x,t) is a solution of the ut=uxx.

While in maple, b is only two exponential function which are also the solution of ut=uxx. 

why?

thanks for your help!

hi..i have a problem for solving this nonlinear differential equationerror.mw

restart; Digite := 200; L := 100*10^(-9)

1/10000000

(1)

EQ11 := -3.000000000*10^(-8)+3.815358072*sin(3.141592654*10^7*x)+9.534375000*10^(-30)*(diff(w(x), x, x, x, x))-2.383593750*10^(-60)*(diff(w(x), x, x, x, x, x, x))-5.085000000*10^(-13)*(diff(w(x), x))*(diff(u(x), x, x))-7.627500000*10^(-13)*(diff(w(x), x))^2*(diff(w(x), x, x))-5.085000000*10^(-13)*(diff(w(x), x, x))*(diff(u(x), x))+0.2410290000e-5*(diff(w(x), x, x)):

EQ2 := 5.650000000*10^(-20)*(diff(u(x), x, x, x, x))-226000000000*(diff(u(x), x, x))-226000000000*(diff(w(x), x))*(diff(w(x), x, x)):

dsys3 := {EQ11, EQ2, u(0) = 0, u(L) = 0, w(0) = 0, w(L) = 0, (D(u))(0) = 0, (D(u))(L) = 0, ((D@@2)(w))(0) = 0, ((D@@2)(w))(L) = 0, ((D@@4)(w))(0) = 0, ((D@@4)(w))(L) = 0}; res := dsolve(dsys3, numeric, initmesh = 1024, abserr = 0.1e-4); res(0.1e-9)

res(0.1e-9)

(2)

############################################################CHANGE OF VARIABLE:::           x=y*L

bcs := {u(0) = 0, u(L) = 0, w(0) = 0, w(L) = 0, (D(u))(0) = 0, (D(u))(L) = 0, ((D@@2)(w))(0) = 0, ((D@@2)(w))(L) = 0, ((D@@4)(w))(0) = 0, ((D@@4)(w))(L) = 0}; sys := {EQ11, EQ2}; sys2 := PDEtools:-dchange({x = L*y, u(x) = g2(y), w(x) = g1(y)}, sys, [g1, g2, y]); solve(sys2, {diff(g2(y), y, y, y, y), diff(g1(y), y, y, y, y, y, y)}); bcs3 := {g1(0) = 0, g1(1) = 0, g2(0) = 0, g2(1) = 0, (D(g2))(0) = 0, (D(g2))(1) = 0, ((D@@2)(g1))(0) = 0, ((D@@2)(g1))(1) = 0, ((D@@4)(g1))(0) = 0, ((D@@4)(g1))(1) = 0}; res3 := dsolve(`union`(sys2, bcs3), numeric, maxmesh = 2024, abserr = 0.1e-4); plots:-odeplot(res3, [seq([y, (cat(g, i))(y)], i = 1 .. 2)], 0 .. 1)

Error, (in plots/odeplot) input is not a valid dsolve/numeric solution

 

``

 

Download error.mw

please help me

thanks...

 

How do I insert Maple18 plots into LaTeX documents?

How to evaluate a Stieltjes integral ?  I'm not asking for the definition of the Stieltjes integral, I want to know how I can get maple to evaluate one.

I had problems plotting the solutions of my PDE with the derivative as the axis. Anyone knows what went wrong?

p1 := pds:-plot(diff(f(x,y),y), y = 0 .. 10, x = 0, numpoints = 100)

I seem to be getting a plot of y=0. Any help would be greatly appreciated:))

 

fyp2.mw

The angle unit of the SI system is rad and its dimension is 1. In engineering angles are often scaled in degrees. Maple supports the unit "deg" or "arcdeg". However when calculating with these units it does not convert deg to rad automatically and replace rad by 1. Here is an example:

The result of evalf(B) should be 15.708 (= 5*pi), i.e. a value without dimension, neither arcdeg nor rad. How do I get the correct result?

Hello,

I have to solve numerical trogonometric equations such as :
solve(.3707752782+.1499320455*sin(theta[4](t))+.1117559025*cos(theta[4](t))=0.5,theta[4](t));

But, after, I would like to keep only the solution defined in a specific interval such as : [0,Pi]

1) Is there a possibility to define options with the function solve to limit the solutions belonging to a specific interval ?

2) Otherwise, may you help me to make an systematic process to choose a solution in a specific interval ?

Thank you for your help

 

I need to change the following continued fractions into rational numbers using the cfrac function:

1)  [1 , 2]               2) [1, 1, 2]                3) [1, 1, ,1, 2]

 

Thanks,

Sara

I know there is some code to compute the symmetry of pde, but i want to compute the symmetry of some differential expression, as f(x,t,ux,ut).

The difference is that when solve the infinitesimal, we don't have the identity f(x,t,ux,ut)=0, we just take each variable in the jet space as independent.

Is there any package to do that?

help and thanks!

Hello,

how can I use procedures saved in ".m" files in my own repository?

I've created

LibraryTools:-ShowContents("C:\\Users\\Stefan\\maple\\toolbox\\myfactor\\lib");
[["Auxiliary.m", [2016, 10, 10, 15, 53, 20], 1024, 3333]]

and registered it in the maple.ini
libname;
     "C:\Program Files\Maple 18\Maple 18\lib",
       "C:\Users\Stefan\maple\toolbox\Iterator\lib", ".",
       "C:\Users\Stefan\maple\toolbox\myfactor\lib"


but Maple don't know the procedure squarefree() from the repository. What is wrong?

Thanks

Hi all,

I am trying to plot in semilog scale a function involving products of exponential integrals and complex exponentials. For small and moderate values of the argument, the plot is well shown. However, for larger values the plot shows strong fluctuations. I was wondering how one can deal with such a problem. Any help is highly appreciated.

Please refer to the attached script for the functio of interest.

Thanks
F

 

Question.mw

I understand that if I want to use a scientific constant in a Maple worksheet or document, I first have to declare it. Here is an example for the speed of light:

However if this worksheet is re-executed (e.g. using !!!) this happens:

Obviously there is a kind of recursion for c which is listed in the Variable Palette as a name for a variable but which is also the scientific constant. The problem can be solved e.g. by associating another name to the constant and unassigning the old definition in the Variable Palette:

This works but it makes the document harder to read since everybody is used to lowercase c for the speed of light. The same is of course true for other scientific constants.

Is there a way to use scientific constants in their "usual" notation in Maple, including using the unit of the constant?

Dear all!.       

I have an expression with ramdom variables. Can i use NLP to optimize it?. In this case, does Maple take the histogram of theses ramdom variables?. Thank!!!

What is the difference between the Expression Palette and the Layout Palette? First I thought that the Layout Palette is supporting the entering of names with e.g. sub- and superscripts, but I learned (the hard way) that the templates of the Layout Palette are "mathematically active".

What is the meaning of the colours green and violett in both palettes?

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