Respected member!
Please help me to find the solution of attached problem,  I am a new user so please forgive any mistakes.maple.mwmaple.mw

Can anyone solve,

eqn := diff(x(t), t, t)+omega^2*x(t)-epsilon*mu*(diff(x(t), t))+epsilon*alpha*x(t)^2*(diff(x(t), t))+epsilon*Zeta*cos(Omega*t)*x(t)=0;

This equation using MMS (Method of Multiple Scales) in maple.

Pls use Polar transformation function as (1/2)*a(t)*exp(-I*beta(t))

Please reply.

I am trying to see the solution to a PDE that I am coding with initial and boundary conditions. I know with the ODE, it shows the solution, but with the PDE I cannot seem to see it. Any suggestions?

Hi, i try resolve this equations numerical for the boundary between the spinglass and ferromagnetic phases:

how?

Regards.

Hi

Any help will be appreciated

I have a continuous time dynamical system

x in R ( set of real number)

t  a positive real time

and the function f_t(x)=x-t

How can we plot or sketch their behaviour in the phase space and in the extended phase space

Many thanks

A family of curves has polar equation r=cos^n (theta/n), 0<=theta,n*pi, where n is a positive even integer.

Previously Using t = theta as the parameter and finding  a parametric form of the equation of the family of curves it was shown that 

dy/dx = (sin(t)sin(t/n)-cos(t)cos(t/n)) /( sin(t)cos(t/n)+cos(t)sin(t/n)).

Is it possible to show on Maple with a program that there are n+1 points where the tangent to the curve is paralell to the y axis?

Suppose that a finite set of polynomials in C[x,y,z] has a finite number of solutions (i.e. the generated ideal is 0-dimensional).

Suppose also that the Groebner basis wrt plex(x,y,z) is

[f(z), g(y,z), h(y,z), k(x,y,z)]

As well known, the system can be now easily solved: choose a root z0 of f, plug it into g and h and look for a common root (y0) etc.

The question is the following:
Is it true that for EVERY root z0 of f there exist y0, z0 such that (x0,y0,z0) satisfy the system?

In all the examples I have seen this is true, but I don't know whether this is true in general or there is a counterexample.

[This is not a pure Maple question but I know that some members here work in this area].

Thank you.

when i use the command evalf(Int(f(y),y=-b..b)), i expect that the output of this command to be an integer. but the output is to form of below:

i think that the problem is because of the form of the function f(y) that is the form of below:

f(y) = a*10^354*(b*10^-356*g(sin(y) , cos(y) and exp(y)))

but i dont know how i solve this problem:(

please help me. thank you

I followed the steps given in the example of Maple help "Example 5: Adding a MathMLViewer Region" but I get the next error window.

Do you know what is my mistake?

thank you.

Connecting to a linux x2go server with an x2go client (tried Mac and Linux) and try to start maple2016 in a terminal, I get this error:

$ /opt/maple2016/bin/xmaple 
Picked up JAVA_TOOL_OPTIONS: 
Exception in thread "Request id 1" java.lang.UnsupportedOperationException: PERPIXEL_TRANSLUCENT translucency is not supported
    at java.awt.Window.setBackground(Window.java:3842)
    at java.awt.Frame.setBackground(Frame.java:988)
    at com.maplesoft.worksheet.application.WmiSplashScreen.<init>(Unknown Source)
    at com.maplesoft.worksheet.application.WmiGenericStartupStrategy.showSplash(Unknown Source)
    at com.maplesoft.worksheet.application.WmiGenericStartupStrategy.doStartup(Unknown Source)
    at com.maplesoft.worksheet.application.WmiWorksheetStartupStrategy.doStartup(Unknown Source)
    at com.maplesoft.application.Maple.doStartup(Unknown Source)
    at com.maplesoft.application.Application.startup(Unknown Source)
    at com.maplesoft.application.ServerProtocol$StartApplicationHandler.processCommand(Unknown Source)
    at com.maplesoft.application.ServerProtocol.executeCommand(Unknown Source)
    at com.maplesoft.application.ServerProtocol.processNextStep(Unknown Source)
    at com.maplesoft.application.ExchangeProtocol.executeProtocol(Unknown Source)
    at com.maplesoft.application.ApplicationManager$Listener.run(Unknown Source)
    at java.lang.Thread.run(Thread.java:745)

The same xmaple will start graphically if I connect with a normal remote X connection. However a normal remote X connection is unusable on a slow network connection.

This is simplified from a larger example.  I never saw Maple exit from a numercal calculation.

> 123456789 ^ 987654321:
Execution stopped: Stack limit reached.

Process Maple R2016 exited abnormally with code 158

> kernelopts(maxdigits);
                                  38654705646

> lprint(123456789. ^ 987654321.);
.4339566080e7991619731

kernelopts(memusage) shows about 2~3 meg bytes used.

The system has 16G Ram.  16G swap.

Seems like something maple should have caught.

I don't know where to ask this.  Sorry if this is the wrong forum.

I use maplev-mode

;; Version:    2.155
;; X-RCS:      $Id: maplev.el,v 1.14 2006-06-02 14:02:38 joe Exp $
 

I am attempting to modify it so
  f1 invokes maplev-cmaple-send-line
  f2 invokes maplev-cmaple-send-region
  f3 invokes maplev-cmaple-send-buffer
 

tried adding
(define-key map [(control c) (control c) ?l] 'maplev-cmaple-send-line)
(define-key map [(f1)]  'maplev-cmaple-send-line)

but, emacs seems to not recognize this.  I can change the global keymap to get this behavior.
Is there a way to do this in maplev.el?
 

Tom Dean

What can i do in this case? I,m traying solve a system of non linear equation like this, i want to know Rs and Rsh:

I have the following fuction in Laplace domain,

restart:with(plots):with(inttrans):

u:=Pi^4*s3^(alpha-1)/((s1^2+Pi^2)*(s2^2+Pi^2)*(-s1^2+Pi^2*s3^alpha-s2^2))-Pi*s1*s2^(alpha-1)/(s3*(1+s2^alpha)*(-s1^2+Pi^2*s3^alpha-s2^2))-Pi*s1*s2^(alpha-1)/(-s1^2+Pi^2*s3^alpha-s2^2);

Where, s1, s2, s3 are the Laplace variables.

x1:=invlaplace(u, s1, x);

This worked. But the next two doesn't work.

y1:=invlaplace(x1, s2, y);

uu:=invlaplace(y1, s3,t);

Even, I tried to plot the unevaluated invlaplace but no luck.

alpha:=1:t:=1:
plot3d(uu,x =1..2, y=1..2);
 

Am I missing something?

Dear all,

I have the following question, this code:

restart:
with(DifferentialGeometry):
DGsetup([w1,w2],N):
eq1 := ExteriorDerivative(w1);  
eq2 := ExteriorDerivative(w1) &wedge ExteriorDerivative(w2);
eq1 &wedge eq2;

Gives the error:
Error, (in DifferentialGeometry:-Tools:-DGzero)  given degree, 3, exceeds that of frame dimension, 2

Unfortunately, I am not so familiar with differential geometry but as far as I know dw1  (dw1  dw2) = 0 should be correct.

Thank you for your help
best
baustamm1