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What I want is quite simple but I have not seen it implemented anywhere yet. 

I have an explicit map F from the plane into itself. (not an ODE but simply a map) 

Then I have a set X, (something like a line segment or a rectangle in the plane) for which I 

really need to keep track of the images $F(X), F^2(X), F^3(X)$, and so on.

Is there a way to plot the image of a set in Maple? 

Thank you very much for your interests in the question. 




Is there a way to make the first part of this look like the second picture depicted here? Also after intigration is there a way to make the highlighted posrtion not have an "ln(e)" parts and just have the exponetials and there constants?

Obviously I dont want to have to manually input this section everytime, is there some command I can use to achieve this goal?

Above is the outcome I am getting at the current time... and I used map(expand,...) to do the expansion then simplifing it goes back to the origional. 

Below is the outcome I would like to can see that this is a different method. The problem I have is this is the right click method of expansion and I am tring to build a program that solves matrix ODE's by just inputing the initial matrix and it doing everything so i can check my answers step by step. 

So my question is, is there another method of command input to get the bottom line in the below picture?



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