When solving a nonlinear differential equation on some variable x, but using some other parameter w, I am finding on Maple some complicated solution, which I would like to simplify by making evident what is the x dependence, and where I can compact complicated functions of the parameter w alone into new constants. How can I do that automatically?

For example, to have

(sinh(w) + ln(w))*x 

to be automatically called

c*x

Thank you in advance.

Hi
Please give me the matlab coding for plot together of attach figure by matlab.fig
thanks...!

Hello.

given this expression

T:=unapply((1/6930)*exp(-(1/7938)*(X[4]-933)^2)*exp(-(1/6050)*(X[2]-805)^2)/((1+exp((1/50)*X[4]-(1/50)*X[2]))*Pi),X[2]);

U := unapply(sum(T(X[2]), X[4] = 0 .. 3600), X[2]):

I want to display U, but not all 3600 terms. is there anyway to simplify/reduce this sum?

kind of like geo series a+ar+ar^2+ar^3+...+ar^(n-1)=sum(ar^k,k=0..n-1) can be reduced to a*(1-r^n)/(1-r)

Hello. Earlier, I asked about it, (see http://www.mapleprimes.com/questions/203573-How-To-Do-Simple-Operations-On-Tensors). However, not all I was able to understand. Below I will give a try, and maybe you'll show me where I'm wrong.

Also, I'm interested in how you can determine the components of the tensor in a different coordinate system connected with the original in any conversion. Thank for your help.

Download 1.mw

Hi! 

I have been trying to solve the following system of equations:

ODEs:=diff(f[0, 0](x), x)+2.*f[0, 0](x)/x^5+.5000000000*f[0, 0](x)/x+0.1500000000e-1*f[0, 1](x)/sqrt(x) = -15.58845727*sin(.5773502693*x)/x^2+140.2961154*sin(.5773502693*x)/x^4-81.*cos(.5773502693*x)/x^3, diff(f[0, 1](x), x)+2.*f[0, 1](x)/x^5+.5000000000*f[0, 1](x)/x-0.6666666667e-2*f[0, 0](x)/sqrt(x) = -1039.230485*sin(.5773502693*x)/x^(5/2)+600.0000000*cos(.5773502693*x)/x^(3/2)-346.4101616*sin(.5773502693*x)/x^(9/2)+2078.460970*sin(.5773502693*x)/x^(13/2)-1200.000000*cos(.5773502693*x)/x^(11/2), f[0, 0](.1) = 1.503498543, f[0, 1](.1) = -1.053038610

Using dsolve I cant get it to work. I have tried both dverk78 and lsode methods, with default options. For example:

Sollsode := dsolve({ODEs}, numeric, method = lsode) 

Gives me the follwing error, if I try to estimate the solution anywhere past the initial point of 0.1: Error, (in Sollsode) an excessive amount of work (greater than mxstep) was done

I have also attempted to solve it with dverk78, thinking perhaps the improved accuracy of the method will help.

Soldverk := dsolve({ODEs}, numeric, method = dverk78) 

However I will get the following error message then: Error, (in Soldverk) cannot evaluate the solution past .10000000, step size < hmin, problem may be singular or error tolerance may be too small

Any ideas on how to proceed? Thanks so much!

I am trying to explore the equality of two lengthy expressions. Unfortunately, my relations that all are symbolic, are lengthy and I use 'verify' command to explore the equality of them. When I use this command the 'FAIL' message appears. Maybe it is because of lengthy expressions and Maple cannot exploring equality of them. I have attached the corresponding file. Does anyone know what's the real problem? Thanks in advance.

MMatrix.mw

I have some problems with Commutator and d_.

Please any help will be good for me.

Identidades_de_Bianchi.mw

Thanks a lot.

Hello, 

is there a way I can use data (variables) from Maple environment in the Maplesim environment. 

I have a scirpt in maple that generates the robots joints angles and need to use them in the 3D robot built in maplesim. I know I can export/Import data, but this sounds redundant. Is there a way to simply use an input block as a source of the data in maplesim and have the variable name generated in maple used int. Similar to what Matlab/Simulink does.. 

thanks.

Могу ли я использовать Клен, чтобы найти конкретные решения, которые выражаются либо в начальных и эллиптических функций для систем обыкновенных дифференциальных уравнений. Например, вы можете получить в Maple решений (sub_Solve01, sub_Solve02) для систем, которые перечислены в файле?
exp01.mw

hello
i have a problem that you could help me
i have an expression that i want convert it to an expression according to the expression q[d] with maple
i have bellow expressions
B[d]:=(-d*w[1]+w[3])/(((-2*w[1]+w[3])^2)-((-d*w[1]+w[3])^2))
B[o]:=(-2*w[1]+w[3])/(((-2*w[1]+w[3])^2)-((-d*w[1]+w[3])^2))
A[o]:=w[1]*(alpha[o]-c[o]-t[o])+2*w[2]*e[o]
A[d]:=w[1]*(alpha[d]-c[d]-t[d])+2*w[2]*e[d]
q[o]:=B[o]*A[o]-B[d]*A[d]
q[d]:=B[o]*A[d]-B[d]*A[o]
i want simplify expression U[d] such as this one
U[d]:=w[1]*(q[d]*(alpha[d]-q[d]-d*q[o]-c[d]-t[d])-C)+w[2]*(e[d]*q[d]+e[o]*q[o])+w[3]*((1/2)*(q[d]+q[o])^2)
I'm looking to simplify U[d] according to the expression q[d]
please please help me

Download loop.mw

Hey,

Basically the problem is that when I try to derive a variable L, which is defined by a very big equation, Maple does not do the maple. But if I copy and paste the big equation it calculates everything perfectly. Could I get any insight on why is that?

The copy paste method is very space consuming.

Thanks in advance.

I have a system of pdes and solved numerically using pdsolve (numeric) command.

The system consists of four first order partial differentia equations.

for example u(x,t), R(x,t)....

what command should I give to the Maple and get the graph of u(x,t) at a specific point x_0?

For example, I need a plot for u(30,t).

Is it possible with the maple plot?

I really appreciate your help.

Thank you for reading this post. :)

Hallo,

I am facing a problem with the c-code generation of maplesim models:

When I am trying to compile a multibody model that contains more than about 80 bodies I get an error "Error, (in GetCompiledProc) internal error: unable to find matching".

Using the code generation template it says "Error in Component cmdGenerateCode eith caption "Generate C code": (in DSN/Pantelides) internal error: unable to find matching"

Has anyone a solution to this?

Edit:

Model: Ref_Model.msim

It is a simple systems of masses connected by spring/dampers.

I am using MapleSim 7.01

The error message occurs when I try to simulate the model in maplesim, too:

Simulating...
Using the Mark II engine
Simplifying system with 600 equations
Simplification removed 0 equations. Remaining equations: 600
Generating simulation code
DAE index reduction
DSN/RunSimulation: internal error: unable to find matching
(in DSN/RunSimulation) internal error occurred during simulation
Simulation failed.

 

Dear friends! Hope you will be fine. I want to generate a general form of the matrix (of order 2M+1 by 2M+1) shown below in Maple

[[[0,0,&ctdot;,0,-1/(M Pi),0,&ctdot;,0,1/(M Pi)],[0,0,&ctdot;,0,-1/((M-1) Pi),0,&ctdot;,1/((M-1) Pi),0],[&vellip;,&vellip;,&dtdot;,&vellip;,&vellip;,&vellip;, &utdot;,&vellip;,&vellip;],[0,0,&ctdot;,0,-1/(Pi),1/(Pi),&ctdot;,0,0],[1/(Pi),1/(Pi),&ctdot;,1/(Pi),1,1/(Pi),&ctdot;,1/(Pi),1/(Pi)],[0,0,&ctdot;,1/(Pi),1/(Pi),0,&ctdot;,0,0],[&vellip;,&vellip;,&utdot;,&vellip;,&vellip;,&vellip;,&dtdot;,&vellip;,&vellip;],[0,1/((M-1) Pi),&ctdot;,0,1/((M-1) Pi),0,&ctdot;,0,0],[1/(M Pi),0,&ctdot;,0,1/(M Pi),0,&ctdot;,0,0]]]

for M=4 we get

Matrix(9, 9, {(1, 1) = 0, (1, 2) = 0, (1, 3) = 0, (1, 4) = 0, (1, 5) = -(1/4)/Pi, (1, 6) = 0, (1, 7) = 0, (1, 8) = 0, (1, 9) = (1/4)/Pi, (2, 1) = 0, (2, 2) = 0, (2, 3) = 0, (2, 4) = 0, (2, 5) = -(1/3)/Pi, (2, 6) = 0, (2, 7) = 0, (2, 8) = (1/3)/Pi, (2, 9) = 0, (3, 1) = 0, (3, 2) = 0, (3, 3) = 0, (3, 4) = 0, (3, 5) = -(1/2)/Pi, (3, 6) = 0, (3, 7) = (1/2)/Pi, (3, 8) = 0, (3, 9) = 0, (4, 1) = 0, (4, 2) = 0, (4, 3) = 0, (4, 4) = 0, (4, 5) = -1/Pi, (4, 6) = 1/Pi, (4, 7) = 0, (4, 8) = 0, (4, 9) = 0, (5, 1) = 1/Pi, (5, 2) = 1/Pi, (5, 3) = 1/Pi, (5, 4) = 1/Pi, (5, 5) = 1, (5, 6) = 1/Pi, (5, 7) = 1/Pi, (5, 8) = 1/Pi, (5, 9) = 1/Pi, (6, 1) = 0, (6, 2) = 0, (6, 3) = 0, (6, 4) = 1/Pi, (6, 5) = 1/Pi, (6, 6) = 0, (6, 7) = 0, (6, 8) = 0, (6, 9) = 0, (7, 1) = 0, (7, 2) = 0, (7, 3) = (1/2)/Pi, (7, 4) = 0, (7, 5) = (1/2)/Pi, (7, 6) = 0, (7, 7) = 0, (7, 8) = 0, (7, 9) = 0, (8, 1) = 0, (8, 2) = (1/3)/Pi, (8, 3) = 0, (8, 4) = 0, (8, 5) = (1/3)/Pi, (8, 6) = 0, (8, 7) = 0, (8, 8) = 0, (8, 9) = 0, (9, 1) = (1/4)/Pi, (9, 2) = 0, (9, 3) = 0, (9, 4) = 0, (9, 5) = (1/4)/Pi, (9, 6) = 0, (9, 7) = 0, (9, 8) = 0, (9, 9) = 0})

I want the general for of this matrix for any value of M

9_by_9.mw