@Karen 

Thanks

Yes, i was alredy be aware of the favourites palette!

But suppose i do want make a palette for say dedicated to vectorcalculus or geometry ..or in general from a package?

@Scot Gould 
Thanks

As math teacher for secondairy schools(B ed)(retired) i don't got a thouroughly training in Maple and in all kind of mathematical topics.
So thought that the dot was reserved for the vector calculus ( and also seen in a video from Maplesoft )

Although i see a example in studymaterial : fluxies.. and i remember.. Newton: his calculation of fluxies?  
It's now only a question of using the right symbols for a vector then.

Seems to me that the ideal situation would be that there is a  2D Input and also a 2D output what is more simplified without differential forms.

The differential equation eq has as output a differential form.
If you should use this eq in the procedure P(eq)  you get the same output as input, but it is a limited use only for differential equations.

Replacing in the output the differential form by a letter with prime.
Its teached in textbooks this differential form as differential quotient or a seperate differentials dy and dx  

So for learning calculus with maple the differential quotient form has to be used.
Ideal should be that a user who knows the basics of calculus can chance the differential (qoutient ) form notation 2D Output into a simpler form.
Don't know if there is simpler notation possible for partial deratives ?

Indeed it looks great the vector equation, easy to read.

Adding a tasktemplate with he name palette could be a start for a new palette?

@Kitonum 
If i enter a second order ODE with the prime notation directly as keystroke  , it seems that the " is not working  

It is working with a single priem twice as keystroke

@Scot Gould 

Thanks

Yes, the dot notation can be also used for ordinairy calculus too as it seems , but is especially meant for vector calculus
Looks on the prime notation y'  with the dots.
With this code below you could see the prime notation 
Its converting the diff notation(maple input) into prime notation. (2D input)
But you could use also the prime notation directly in 2D Input too.

Note: if i do want to see a ODE written in Maple input in 2D input can convert it also in the worksheet.  

But it seems that parsing the " goes wrong if you enter a second order ODE directly notated with primes..no i must use two times the single prime. 
But the prime notation is default on in Typesetting Rules .. '   and double '' and more to 4 . 
Also the dot notation can be set in the Typesetting Rules .. keystroke  ? ..no need for palette anymore then.

So your example can be done also with the prime notation for a time t ( or x in Typesetting Rules)

Code for converting diff notation to prime notation

restart; # by Preben Alsholm
interface(typesetting=extended);
### 
P:=proc(ode)
  local idiff,t;
  idiff:= convert(indets(ode,specfunc(diff)),D);
  t:=op~(idiff);
  if numelems(t)<>1 then error "Only one independent variable allowed. Got %1", t end if; 
  t:=op(t);
  Typesetting:-Settings(usedot=false,prime=t,typesetprime=true);
  ode
end proc:
###
ode1:= diff(y(t),t$2)+a*diff(y(t),t)+y(t)= b*diff(z(t),t);
P(ode1);
ode2:= diff(y(t),t$2)+a*diff(y(s),s)+y(t)= b*diff(z(t),t)
P(ode2); # error by design - jd foutmelding 

@acer 

Thanks !
I am trying to add a custom palette, but it is yet not clear in Maple how to do this

@dharr 
Thanks!

It was only the(") what i  overlooked then.

@vv 

Thanks

Straightforward this without use of the VectorCalculus package

@acer 

Thanks

There is a vectorfield and the Gradient is graphed in this plot as a rootvector : is this correct ?
 

@rlopez 

Thanks

I am curious how this plot looks like : is there a example of this gradient vectorplot ?

@acer 

Thanks!

Great, now i can stay in the VectorCalculus package
 

@radaar 

Thanks

Never thought on this package 

I prefer the VectorCalculus package, because it is in the vector notation with the unitvectors

The with(Student[MultivariateCalculus]); version has interesting tutors
  

@Carl Love 

Thanks

The CD is from 1998 , yes for Maple V-4 and  want to learn more from vectorcalculus for using in partial differential equations

This error seems to be more difficult to solve

CH7B.mw
   

@Preben Alsholm 

Thanks

Got it now also working and i replaced " by % together with the (t)
Saved also from .mws (old) to .mw (new)
It are old worksheets and nowadays Maple has probably more to offer for easier visualising this topic ?
DYNAMIC DE plots 

The author has made a procedure for this 

@dharr 

Thanks

Don't get the worksheet  working yet unfortunately.