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Question: How does PDEtoos[declare] work?

Question:How does PDEtoos[declare] work?

Rouben Rostamian 8269 Maple 2018
pdetools documentation declare
December 25 2018
0

I don't quite understand the behavior of PDEtools[declare].  My reading of the documentation is that PDEtools[declare](y(t)) tells Maple that y is a function of t, and therefore y(t) is displayed as y and the derivative of y is displayed as yt.  I did not expect other variables to be similarly affected but apparently they are.  For instance, in the worksheet below, why is the derivative of p displayed as ps?

> 

restart;

The normal display of derivatives:

> 

diff(y(t),t);
diff(p(s),s);

diff(y(t), t)

diff(p(s), s)

Declare y as a function of t:

> 

PDEtools[declare](y(t));

` y`(t)*`will now be displayed as`*y

> 

diff(y(t),t);    # this is displayed in subscript notation, as expected
diff(p(s),s);    # why is this displayed in subscript notation?

diff(y(t), t)

diff(p(s), s)

> 

 

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