Maple Questions and Posts

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I am writing a procedure that takes the "output" of a call to dsolve (with the options numeric and listprocedure and without specifying a range of integration) as an argument ('dsol') together with a minimally acceptable range of integration ('tf'). The output of the procedure is either the input 'dsol' itself, if dsolve has been able to integrate from 0 to 'tf', or a modified version where the initial conditions have been modified.

Say I want to integrate an ode system [u,v,w...

I have plotted a predator/prey system using the following code and would now like to plot the same with the initial value problem of y=200, x=1000, with the end result being a graph of that one trajectory, without the phase field.  How can I do this?  Thanks.

DEtools[DEplot] ([diff(x(t), t) = 2*x(t)*(1-0.1e-3*x(t))-0.1e-1*x(t)*y(t), diff(y(t), t) = -.5*y(t)+0.1e-3*x(t)*y(t)], [x(t), y(t)], t=0 .. 10, x = 0 .. 11500, y = 0 .. 200, [[x(0) = 1000, y(0) = 200...

Dear all

I tried to intgrate this problem

P:=(b8*Omega^8+b6*Omega^6)/(a10*Omega^10+a8*Omega^8+a6*Omega^6+a4*Omega^4+a2*Omega^2+a0);

 

using these limits

Omega_r1:=beta*Omega_c;
Omega_r2:=(2-beta)*Omega_c;

assume((2-2*beta)*Omega_c>0);
assume(a0>0,a2>0,a4>0,a6>0,a8>0,a10>0,b6>0,b8>0,beta>0);
P_I:=evalf(int(P,Omega=Omega_r1..Omega_r2)):

 

 

but the results was not useful I got (RootOf)

Hi everyone,

 

I want to draw a phase portrait of a particle to see it moving but I don't want to see its trajectory. I don't know how to explain, here is what I did:

restart;with(DEtools), with(plots), with(linalg):

g11:=1;g21:=g11;

z:=exp(I*((t/(2*Pi))+(Pi*j)));

f1:=evalc(Re((I/(2*Pi))*((g11/(subs(j=1,z)-(x(t)+I*y(t))))+(g21/(subs(j=2,z)-(x(t)+I*y(t)))))));

q1:=evalc(-1*Im((I/(2*Pi))*((g11/(subs(j=1,z)-(x(t)+I*y(t...

hi 

I determined this whole partition but I just want to have the finer the 

I have a curve Tractrix: x(t)=1/cosht,y(t)=t-tanht

how I do?

  • Find the length of the tangent line from the tangent point to the asymptote
  • find the area between the curve and its asymptote
  • find the length of the curve from x-axis to a point on the curve
  • find the slope of the tangent line at any point along the curve

I hope you can help , its very important to me

kawakib

I'm working with some rather complicated sums involving absolute value, I'd like convert the sum into a piecewise defined function. For example

consider the line y=-x+1 on xy plane. the shortest line from the origin to y=-x+1 intersects with it at (x*,y*)=(0.5,0.5). Confirm this result by formulating and solving and optimization problem. 

I want to solve the position of a bal with a variable angel of the start velocity. I want to know which angle I have to take when the ball must be in a fully known position (5.44 , 1.60).I must also take the friction into account.

Therefore I have a system of equitations that I can solve with dsolve if I fill in the angle (in degrees).

> dsolve(eval(stlsl,angle = angeltest), numeric);

It gives me back values in x(t) and y(t). But know I want to make...

I need to plot a discontinous function based on a previous discontinous function described by the picture:

Hi Mapleprimes,

The nextprime(n) function will give the next prime, given n.

Suppose I want the 8th next prime so how can I find the 8 th next prime quickly?

I guess I could find the ones in between, but maybee there is a better way.

n  nextprime(n,8)

2          23

3          29

5          31

Hi.

I need something to use Maple for solving Finsler equations and I heard mathematications use Finsler package based on Maple but I couldn't find any information about it? Who can help me

Is there some way to do this?  I am hoping to export the plots to x3d files with the ultimate goal of sending the files to a company that can print them on a 3d printer.  (for example, Shapeways http://www.shapeways.com/  ) 

Attached are results I obtained in MAPLE 12.  Can anyone explain the contradiction?

In short, if I sum from n = 0 to some integer I get a FALSE when testing the equality, which is what I would EXPECT.  However, if I change the integer to a variable to represent that integer such as m--> the result is TRUE?

Note the change in the variable of beta to alpha inside the series expression within the parentheses.

regards

Hi,

I would like to know if there are any command that can generate the first n terms of the fourier series expansion of a piecewise continuous function ( and/or its odd/even extensions). I am looking for a command similar to what the taylor( ) command does for Taylor series.

I found some references on packages such as "OrthogonalExpansions" and "Fourier" none of which are avaliable with a standard Maple installation. If user-defined packages are my only option,...

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