@rlopez 
Thanks!

Interesting see another solving method and helpful.
I figured out how to do it in 2D mode too 
Only try to follow a bookexample and there is no curl  there mentioned
Picked up :  it is conservative field and those filelds are not rotating, so curl = 0 then    

That's a long time ago 50 years back, at that time i was a teenager of 16 years old

thomas_calculus-vb2-blz_1075_-vraag_forum_deel2.mw
   

@tomleslie 

Thanks!

With pdsolve you get the complete general function and with ScalarPotential you must add constant to the equation
Did not studied yet the outcome of a PDE to a serie of ODE 
But the idea is to this do it by first principles in 2D mode, like a student must do 
 

With the documentmode is it possible to get quick idea of a pattern, but beware.
For example i integrated  for f(x,y,z)= x+y+z with respect to x 
The pattern is that x ( whatever function x is ) is integrated and  y and  z are multiplied with only x  
x + y + z  -> int = 1/2*x^2 + y*x + z*x  
2*x + y + z-> int =x^2 + x*y + x*z
x*sin(x) + y + z -> int= y*x + z*x + sin(x) - x*cos(x)

That's brings the question can i see in documentmode to respect what variable is diferentiate/integrate , because there is no notation of it

You can do this for integration/differentation for the 3 variables x,y,z to get a idea how the final function is derived from the vectorfunction 

Or the idea is 
F is vectorfunction (given) => gradF is gradientfield  = dF/dx, dF/dy,dF/dz (round d) 
So integrate for the 3 partial deratives gives a scalar function back ( no need to look for pattern  for integrate/differentate)  

@9009134 

If you click on plot ( in document mode) , you get a context menu. There is a tickbox  with scaling constrained option too.
You can experiment with other plot options there. 

@vv 
Thanks 
For the good advice.
Understanding a math concept is the first step and then practicing by hand 
To do it on your own makes it even harder and probably for many math topics impossible without a teacher
But these day internet can be source of  studymaterial. 
Must be possible for me think as B Ed in math to study some calculus topics, if am taking the time for it of course.
 

@vv 

It is a sparringpartner Maple for understanding more  calculus, but it follows not always a textbook for integration for not adding a constant
 

@vv 

Thanks

There are two functions involved f(x) and f(y) for  z= f(x,y)  for partiel differentation
(If you consider it as two intersections curves from a surface as defining a partiele directive)
So then f[x](x,y) =0    ..y(x) is left over as constant

It s getting more complicated in another example with v(x,y,z) for a vectorfield:.has it a potential function?

@tomleslie 

Thanks

Its solved as you mentioned : there is a display command needed 

I execute a animate command without display in the table 

All is working fine i think 

@tomleslie 

Thanks

Indeed

The first worksheet attached if you take this one or take the one  from dr Lopes the output of a intermediate animate plot gives this message.

But the final animate works.   

@tomleslie 

What should i could  aspect  for the arttached worksheet ?
Most all of the commands are suppresed by a colon and focus is on the animation of the positionvector   

When i do a iniline with Ctrl+=  for P1 there is message : 

          [Length of output exceeds limit of 1000000]

So this animation cannot be seen , but the final anmation works 

@tomleslie 

Thanks

Your fix for method 3 shows a spatial curve for the positionvector, while i thought i was for 2D ?  

@rlopez Y

Thanks

Did not know that there was non-executable math applied for Method 3 for the worksheet
Well it is now up to date the worksheet and what direction could Maple2020 go, that this revised worksheet for 2020 will not be working again for the future ?

Must be a interesting list of math topics. 

@janhardo 

I bought calculus III lessons

Its very useful an it covers a lot ,although the vectorcalculus packgage is not used here because 
its old lessonmaterial. 
You can study some vectorcalculus this lessons   

@tomleslie 
Thanks!
None of the examples are diificult to understand in both modes,
They are the same ,but in 1D mode it takes some more work for programmer input    
 
 

@tomleslie 

Thanks

You created a small procedure for maple input  with a scalarfunction as argument and a point from this scalarfield.
Outcome of this command is a gradientvector on a levelsurface
Maybe trivial , but stiill complex 

Did not pay much attention for the navigation buttons sofar , but it seems that browsing helppages is possible
But once opening a example worksheet in studentvectorcalculus  the navigation icons are gone
( that is because i am out of the help section ), but there is link to go back to mainpage of student vectorcalculus
So its always possible to go back to the mainpage

Discover also that the help examples  can be in 2D mode too, that's good

Yes , you create a vector function for maple input  mode  
I am doing this now in 2D input mode ( i am doing math in Maple now on two ways.. help..lol))
A function definition is here natural

f(x)= x   .. and you get a function, but now in 2 D input  for a vectorfunction

post_forum_gradientvb_boek_blz_391.mw

@janhardo 

I do need a collection of vectorcalculus worksheets to get a a idea how the calculations with flux are done