Ramakrishnan Vaidyanathan

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7 years, 37 days

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With twenty years of Industrial experience and twenty years of teaching experience, I am now as retired Professor, using Maple to teach mathematics subject for students studying X to XII standards. Published XII Mathematics books.

MaplePrimes Activity

These are replies submitted by Ramakrishnan


Dear Crossley Mjojo,

I understand that you have a problem at hand.

The problem is whether to find the variable values or prediction parameters.

Here x is the location and T is the temperature at this location x. These two are variables as they vary with locations.

The parameters here are r and s as they define the complicated equation suggested by you for the application you are trying to understand. They are fixed by the domain of (x, T).

Therefore there are two problems at hand.

(1) To find the prediction equation (r , s and the equation)

(2) Using the prediction, finding the T values at various S.

No realtime applications in my opinion involve more than a second order differential equation.

Since you want to find the s value, either you need as many conditions as there are variables unknown or the field data (x, T).

Once the formation is known, then Maple will do it for you instantly. Maple needs what you want and how do you want?

Hope these opinions shared here contribute to a little more clarity in understanding.


@Carl Love 

Thank you sir. I will certainly follow the suggestion.

Ramakrishnan V

I have posted the following msg with youtube URL explaining my example for adding a doc to my post.

Hope this will be useful. Thanks.

Ramakrishnan V

This doc is just an example for uploading with my post.Sample_doc_for_adding_to_my_Mapleprime_Post.mw


The above doc/worksheet can be clicked and viewed.

Youtube URL is given below. 



This question and the response makes it clear that all solutions can be obtained by playing with mouse clicks and observe what maple says. In this way, I have solved many doubts without wastine much time and at the same time learning new rules followed and behaviour of maple.

Thank you both the question raiser and respense sender.


Ramakrishnnan V

@Carl Love 

ODEs are mentioned as PDEs. It is a mistake, I made. My Apologies. I stand corrected. Thanks.

Regarding, the directions, I get opposite directions with just "<" in place of  ">" or vice versa. This may not be the solution. but best one is your code with newer version of maple.


Ramakrishnan V




@Carl Love 

Great work. Congratulations.

I am sure, complete solution is given to problem. I just added one more arrow for ics3 with cyan color.

plots:-display([PrePlot, Arrows(ics1, color = red), Arrows(ics2, color = blue), Arrows(ics3, color = cyan)]) It worked for all the curves therein!!.

Just with one word, one curve added!! So simple a solution, once understood!

It is worth taking as an example problem for teaching PDE plot! in advanced mathematics.


Ramakrishnan V

@Carl Love 

Thank you so much

Ramakrishnan V

@Carl Love 

I am trying to change the thickness of arrow (text) to match with thickness of cureve say thickness = 5.

I am trying to put the option in different places, but not getting. A bigger arrow with higher thickess is what needed.

Help would be appreciated in the program under discussion.


@Carl Love 

Thank you. It works well.

The Angle defined is called as rotation = A (k) at a  later line. It was initially not working. Later when I changed to Angle(k), it worked fine.

Thank you Mr. Goli for the question raised here.


Ramakrishnan V

Dear Sir, Thank you very much.

Of course you have the method and it is upto me draw different one. However if i am permitted to ask,

Is there a way draw them using geometric plots? I tried, but could not read much from the help page.

restart; with(plots); with(geometry); Angle := table()n := 4; i := 1

Angle[1] := 2*Pi*i/n

dsegment(dseg, point(A, 0, 0), point(B, 4, 0))point(o, 0, 0)circle(c, [o, 1])homothety(c1, c, 3/2, point(M, -1, 0))translation(t, c, dseg)

translation(tt, c1, dseg)NULL

draw([seq(op([t(color = red), tt(color = green)]))], printtext = false, filled = true, axes = none, title = "An example of translation, rotation, dilatation of a circle")





Download for_possible_help_on_geometry_plots.mw



Thank you very much.

I tried my method, but lost patience while doing in my method using geometry help page from maple.

Any input possible for me to proceed with? Thanks.

The problems given in my original are to be solved using geometry. Hence I thought using geometry plots would be ideal. I am not aware of your method. Thank you.

Thank you very much again. I will proceed to follow your way and do it. Thank you again. Cheers. Ramki


The proposed codes will be useful for all those who wish to have sections for a slide show and make simultaneously make a clean pdf document without sections and vertical lines associated with them.

The doubts would be clear if one knows the following.

The arguments in the procedure are two. 1. Are they just file names or files names including the path?

2. Where should the codes be placed? At the beginning of the doc? Can this module be located in the startup code?

3. Should the target file be **.pdf  or  **.mw only?
Thanks for a wonderful job done for maple users.

Ramakrishnan V

@Carl Love 

Thanks. It works when retyped as you mentioned . I also selected the character x and corrected using  format -> character -> italic for x.




Drawing a circle first and then a rectangle with white order and white fill helped me better. Thanks. Ramki

I ask many times a question and prompt get the answers convincingly too. Later on when I ponder over, I found that I should not have asked the question because that was something to do with my maths knowledge and nothing to do with maple knowledge. Since maple is developed for mathematics, both the types of questions are answered convincingly by the support team.
Congratulations to the support staff.

Ramakrishnan V


When I convert my doc to pdf, the last row has sides (vertical borders) extended and bottom border (line) goes to next line. This looks ugly. Using break lines (very difficult also) leave large gaps in many pages.
I want the rows to be complete in both pages. I know, I can achieve this, but I donot know how I can achieve this. I attach my sample doc. The export pdf should have perfect borders for the tables in each sheet even if break is allowed within a cell, and part of the last row can go to second sheet but with perfect border on both sheets, Probably, the terms points and % page width are not clearly understood by me. 50% 621 points. What does this 621 points mean? What does page break "none", "allow within cells": and "allow within rows" mean? A sample document to explain these three would help  me  understand better. I will also try making my document thrice with each control and try to understand. I get confused in my attempts. But an explanation would be of great help. Thanks to both Christopher and Char for the answers that helped me to a great extent,



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