@janhardo 

There is new functionality for ODE solving
Is y(x) the same as P(t) ? see worksheeet.
And how to solve a differential equation with parameter t in the ODE (steps)

Download nieuw_in_maple_2021-ODE_steps_-vergeleken_met_populatie_dv_van_Harald_pleym.mw

@Kitonum 

I like this presentation of the graphs too, with this plot description, although its more work to achieve.

But it should be also not complicated to let the borders disappear as a option for Maplesoft developers ?

@Carl Love

Thanks

The function 
As solution from the differential equation is continuous 
At what stage we can see that P(t)(population notation) should be continuous from a given differential equation  ? 

Was there not a advisor function for classifying  differential equations 

@acer 

Thanks

"It seems to be some kind of duplication of your querying here"
In that information is nothing to find how to get a prime notation in maple plaintext input as i earlier determined.
As you mentioned before in your earlier post: it doesn't exist the prime notation for maple plaintext input.

@acer 

Thanks

I can remember differential equations in Maple  worksheet  who are showned the prime notation.

Could this be done via a alias ? 

@acer 

"3) A single apostrophe ' which comed from a key on a standard keyboard. This is used as a so-called unevaluation-quote in Maple. In 2D Input this can be used as the prime."

Yes, this is working in 2D 

y'=x -> solve DE  

But not for maple input yet?

How to plot the real part of the zeta function on the critical line in 2D /3D ?

This is a video explaining all Riemann zeta function - YouTube

Drawing a vertical plane at  x =1/2  on the real axis .

Can be helpful too : LMFDB - The L-functions and modular forms database
note: for people who can possible solve the riemann hypothese ?

@acer 

Thanks

Ah, i see 

Its first checking if the typesetprime setting has a value prime: yes or no 
Its not a default setting that prime=true

That you than can come up with this Differential equation  in a default worksheet.

y`= x ; 

@Carl Love 

Should also help to simplify  v more ..or doesn't matter ?

@janhardo 

Takes some time to get it working?

Typesetting:-Settings(typesetprime =true);
                             false

@acer 

Thanks

I got them all three types of the "quotes" on the keyboard 
So, what's the problem you ask? ..i try again

Also  i looked a the calculation of a population modelled with a differential equation
There are some errors in it, perhaps it can be solved ?

It are old worksheets and don't know if the calculation can be modernized.

@acer 

Thanks
Good to know.

Then i use in the worksheet only 2D input as easy reading math and not for computing.

@Carl Love 

Thanks 

The legend option is hardcoded in Maple then.
Why is it necessary to get a box around the legend if you want it to be more sober  the plot ?

It's not a easy thing to do to program this for a average Maple user as you did.
To make it general for more advanced functions as needed could  be helpful ?

@acer 

Thanks

Its was wondering why i get "round d's" for the derative after using the right-click menu to chance it to 2D Input , but it seems that you get  the straight d ( Leibniz notation if i am correct)

I will reproduce it again and look now again.

diff(lhs(%)-rhs(%)=0);

Put the vertical cursor in the expression or at the end after or selected the whole expression, and in all cases i get  :  

Note: the prime notation i does not work too , because it is not on my keyboard ? 
The language for the keyboard is choosable, but the feedback on my computer about this has disappeared? 

@Carl Love 

Interesting, how you have made it ?
I like to see round parenthesis for the the graph intersections and with a dot 
Don't like the black borders around the legenda 

But that's me...