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How to solve delay differential equations with Maple?

Example:

diff(x(t),t) = 3*x(t)^2 + 0.3*x(x-0.03)

The help of maple software is not so clear , and I cant understand the exact way which leads to exporting a matrix from maple to matlab. more precisely how I can link between maple and matlab .

would you please with an example show me the rule.

On a related post here, I have posted some screen shots for fun. Today is a special day for me in particular, because I passed my PhD viva with minor corrections! If you look colsely on the date, by coincidence, it was TWO years ago exactly. So I feel like I maybe 'update' the old post with a bit more, to make it V2.

 

So here comes the new screent shots: (Bear with me for now, I will post some actual content about how I feel when using Maple later.)

Alright, enough with the screent shots. If you click to see the big picture, you would notice that I have managed to get a complete sets of Maple versions from Maple V to Maple 2015!

 

===============================================

I am originally from Shanghai and I have always done well in Maths and science. I first heard about Maple in 2004 from a Maths teacher. He introduced me to this software. I played just a couple of times with Maple 6 on his computer, to get a first impression. At that time, all I could say was, hmmm insteresting.

 

In 2006, I went to UK for a foundation course. That was the first time I was actually taught how to use Maple 9.5. So I had access to it on the university computers. I discovered a lot about Maple and used it for ALL my Maths homeworks. Yes, I am lazy. I hope that Maple can do everything!

 

Then I got fascinated with Maple. Unfortunately, Maple was not taught in the undergraduate course. But there are materials for self-learning. By that time, I had become quite good with most of the contents in those materials. So I went look for other things to try. I went to ask my foundation course classmates, to see if they have anything on Maple and if they needed the help. One of them was at Imperial College and the questions were a bit chanlleging (finally!). That was the time I first met MaplePrimes! Hello, how have you been?

 

After that I have never stopped using Maple or Maple Primes. I may have been quite on the forum, but I was there. My PhD research rely hugely on the ability to compute the symbolic rank of certain matrices as well as the ability to simplifiying complicated expressions using siderules.

 

I do not want to talk too much about the technical details when using Maple. But I do

THANK Maple and it creators, developers and all relavent staff around the globe.

THANK Maple Primes and all its users. Some users have been particulary helpful!

 

Lastly, I dont have any other words to say other than this:

It's been really fun and enjoyable. Thanks!

 

 

In the following worksheet, I can evaluate S(32), but not S(31). As a result, I can't use any value that depends on S(31) (or any i<31), for example, the graph is incomplete. How can I get Maple to evaluate S(31)?

restart

sigma := 167:

t := proc (i) options operator, arrow; exp(-(1/2)*i^2/sigma^2) end proc:

S := proc (l) options operator, arrow; 1+2*(sum(t(i), i = l .. infinity)) end proc:

evalf(S(32))

356.9784188

(1)

evalf(S(31))

1.+2.*(sum(exp(-(1/55778)*i^2), i = 31 .. infinity))

(2)

Expected result of evalf(S(31)):

evalf(S(32)+2*t(31))

358.9442559

(3)

plot(S(y), y = 20 .. 50)

 

``


All told, S(i) fails for i in [0..31], i = 115,116, and 221. S(i) succeeds for all other i < 3500.

Download test.mw

 

Hi there,

I used to work with Maple 15. In Maple 15 the input-font-color was a beautiful plain red. Now I have to work with Maple 17, where the font-color was changed to a way darker red. 

I found a way to change the color in a single worksheet with Format-->Character-->Color. But I want to change it globally and permanently, so that every time I create a new worksheet the color is automatically red.

Do you have any ideas how to get this managed?

Thanks a lot!


I'm trying to add a label to a plot and need the derivative to be represented as a dot. My typesetting rules are set to extended, and it works in a worksheet but not in the plot. See attached image. The code to generate it is:

#the output is shown with a dot over phi
diff(phi(t),t);

#derivative in label not shown as a dot
plot(sin( t), t=0..10, labels=["t", typeset(diff(phi(t),t))], labeldirections=[horizontal, vertical]);

any ideas?

thanks

EDIT:

this seems to work... ( i will leave this question here as it might come in handy to someone else).

plot(sin( t), t=0..10, labels=["t", Typesetting:-Typeset(diff(phi(t),t))], labeldirections=[horizontal, vertical]);

Is it a bug that using the first variant does not work? any ideas from the experts?



Hi all.

I am using Maple2015.

I typed in as input y=x/sqrt(1-x^2).

I hit enter.  The output is:

 y=x/sqrt(1-x^2)

I know the 2 answers are equivalent.

My question is why did Maple swap 1-x^2 to -x^2+1???

Any advice to swap it back would be greatly appreciated.

I wanted to let everyone know that there is a Maple 2015 update available. Maple 2015.1 provides:

  • Support for high-resolution monitors (e.g. 4K, UHD)
  • Updated translations for Brazilian Portuguese, French, Japanese, and Simplified Chinese
  • Enhancements to the Explore command
  • Improvements to the DataSets package
  • Updates to the Microsoft Excel plug-in
  • Enhancements to unit handling
  • A variety of improvements to the math engine, interface, and documentation

To get this update, you can use Tools>Check for Updates from within Maple, or visit Maple 2015.1 Downloads.

If you are a MapleSim 2015 user, you already have this update, as it was part of the MapleSim 2015 installation.

Kim

Hello Everyone

I have an expression which I wish to integrate. I would be grateful if you could please help me with it. I have uploaded the maple file for your refrence.

Thanks a lot for your time.

 

 

IntegrationExample.mw

 

I am facing a problem in maple 17. When I am launching maple 17, each time  the evaluating process is automatic started in server 1 without any input. I could not interrupt this evaluating process. For removing this problem I reinstall maple 17, but the problem is exist.  Please inform me soon how remove this problem ?

Maple responds with FALSE, but for which real number is the statement false?

restart; assume(x, 'real');

verify(abs(x), sqrt(x^2), {'equal'});

 

kind regards,

Harry Garst

Hello,

I need to prepare for a final exam for a introdutory computer science course in Maple.
My professor gives us mutliple choice questions, short answer questions and wiritng some codes.

what is the most efficient way to study for my final exam? or how should i study for an computer science exam. I am not really use to preparing for such a course. 

Are there any websites that i can practice multiple choice questions?

I would appreciate any advice.

 

Thank you very much.

Hi

I have 2 sets of data and I need to plot them as histograms on the same axis(superimposed). Is it possible to do it using Maple 12? Right now I only know how to plot them in different axis.

 

Thanks

Hi,

I m trying to simplify an expression involving square roots in Maple. But instead of giving the expected output it is not simplifying it. Please find the attached maple file for reference. I calculated manually and the result is 1. Please help me out for this. Thanx in advance.

Regards

Sunit

restart

temp := (1/2)*(a*r*t-b*p)*sqrt(p+v*sqrt(a*r))*sqrt(b)/(sqrt(a*b*r*t)*sqrt(a*r*t*(p+v*sqrt(a*r))))+(1/2)*(a*r*v*t-v*b*p+p*t*sqrt(a*r)-b*v^2*sqrt(a*r))*sqrt(b)/(sqrt(a*b*r*t*(p+v*sqrt(a*r)))*sqrt(t*(p+v*sqrt(a*r))))+(1/2)*b*(p+v*sqrt(a*r))/(a*r*t)

(1/2)*(a*r*t-b*p)*(p+v*(a*r)^(1/2))^(1/2)*b^(1/2)/((a*b*r*t)^(1/2)*(a*r*t*(p+v*(a*r)^(1/2)))^(1/2))+(1/2)*(a*r*v*t-v*b*p+p*t*(a*r)^(1/2)-b*v^2*(a*r)^(1/2))*b^(1/2)/((a*b*r*t*(p+v*(a*r)^(1/2)))^(1/2)*(t*(p+v*(a*r)^(1/2)))^(1/2))+(1/2)*b*(p+v*(a*r)^(1/2))/(a*r*t)

(1)

simplify(temp)

-(1/2)*(-(p+v*(a*r)^(1/2))^(1/2)*b^(1/2)*(a*b*r*t*(p+v*(a*r)^(1/2)))^(1/2)*(t*(p+v*(a*r)^(1/2)))^(1/2)*a^2*r^2*t^2+(p+v*(a*r)^(1/2))^(1/2)*b^(3/2)*(a*b*r*t*(p+v*(a*r)^(1/2)))^(1/2)*(t*(p+v*(a*r)^(1/2)))^(1/2)*a*r*t*p-b^(1/2)*(a*b*r*t)^(1/2)*(a*r*t*(p+v*(a*r)^(1/2)))^(1/2)*a^2*r^2*t^2*v+b^(3/2)*(a*b*r*t)^(1/2)*(a*r*t*(p+v*(a*r)^(1/2)))^(1/2)*a*r*t*v*p-b^(1/2)*(a*b*r*t)^(1/2)*(a*r*t*(p+v*(a*r)^(1/2)))^(1/2)*a*r*t^2*p*(a*r)^(1/2)+b^(3/2)*(a*b*r*t)^(1/2)*(a*r*t*(p+v*(a*r)^(1/2)))^(1/2)*a*r*t*v^2*(a*r)^(1/2)-b*(a*b*r*t)^(1/2)*(a*r*t*(p+v*(a*r)^(1/2)))^(1/2)*(a*b*r*t*(p+v*(a*r)^(1/2)))^(1/2)*(t*(p+v*(a*r)^(1/2)))^(1/2)*p-b*(a*b*r*t)^(1/2)*(a*r*t*(p+v*(a*r)^(1/2)))^(1/2)*(a*b*r*t*(p+v*(a*r)^(1/2)))^(1/2)*(t*(p+v*(a*r)^(1/2)))^(1/2)*v*(a*r)^(1/2))/((a*b*r*t)^(1/2)*(a*r*t*(p+v*(a*r)^(1/2)))^(1/2)*(a*b*r*t*(p+v*(a*r)^(1/2)))^(1/2)*(t*(p+v*(a*r)^(1/2)))^(1/2)*a*r*t)

(2)

``


Download question.mw

I tried to use java to call maple command, but end up jvm crash. after some digging, i found the command i issued returned a rather huge string (around 40KB...).

 

Is this the reason why jvm crash? should i constrant the length of a command result when calling it from Java code?

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