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Question: why DEplot behave differently when using different value for range of plot?

Question:why DEplot behave differently when using different value for range of plot?

nm 7820 Maple 2022
ode differential-equations deplot plotting
August 03 2022
0

 

Using t=0 .. 3*Pi the plot is truncated. Changing the 3*Pi to a number, then the full plot shows.

Also keeping 3*Pi but changing y=-1..1 to y=-1.01 .. 1.01 now the full plot shows again.

Is the above normal behaviour or it it a bug?


 

> 

interface(version);

`Standard Worksheet Interface, Maple 2022.1, Windows 10, May 26 2022 Build ID 1619613`

> 

restart;
ode := diff(y(t), t$2) + y(t)=0;
DEtools:-DEplot(ode, y(t), t=0 .. 3*Pi, y=-1 .. 1,[[y(0)=1,D(y)(0)=0]],linecolor=blue);

diff(diff(y(t), t), t)+y(t) = 0

> 

#replacing 3*Pi by a number, then it shows the full plot
restart;
ode := diff(y(t), t$2) + y(t)=0;
DEtools:-DEplot(ode, y(t), t=0 .. 10, y=-1 .. 1,[[y(0)=1,D(y)(0)=0]],linecolor=blue);

diff(diff(y(t), t), t)+y(t) = 0

> 

#keeping 3*Pi but changing the y range, it now also show the full plot
restart;
ode := diff(y(t), t$2) + y(t)=0;
DEtools:-DEplot(ode, y(t), t=0 .. 3*Pi, y=-1.01 .. 1.01,[[y(0)=1,D(y)(0)=0]],linecolor=blue);

diff(diff(y(t), t), t)+y(t) = 0

> 

 


 

Download strange_result_of_DEplot.mw

 
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