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These are questions asked by lonelyoak



I have a nasty expression which I want to simplify in terms of another expression/function I have defined. 

Please can you tell me how to do this?

A simple example would be:


myFunction := a^2 + b^2

horribleFunction:= a^2 + b^2 + ...

I want it to simplify so I get something like


A(myFunction)^n  + .....


Above is just a simplifcation to try and explain what I mean






I would like to get Maple to solve a system of 3 equations, nonlinear. 

I use the solve command to get the correct solutions.


However I would like to see the steps, is there a way to do this?





I am using Maple 17 to solve some equations. I am solving these equations with the solve command. There are some bounds on the parameters so I am including these inequalities. I have 4 variables, so I solve for 3 to get them in terms of the last one.

It returns piecewise solutions as per the inequalties as I hoped.

However for two ranges of the inequalities I get [] which I assume means no solution.

For another range I get an expression for each of my paramters.

For the final range I get 0 . What does this 0 mean and what do the [] mean?


I wondered if 0 meant that all paremeters equalling zero was a solution, but this is false.




I am using Maple to plot steady state diagrams. 

Initially I just plot the diagram, then I work out stability, and want to change the linestyle - solid for stable, dashed for unstable. is there a way I can manually select parts of the line on the plot and change the linestyle, or do I need to do several different plots and combine with display?

Any suggestions on the easiest way to plot steady state diagrams in Maple would be appreciated.






So I have plotted my whole steady state diagram via implicit plot, so if I try and select parts of it I get the whole graph. My alternative seems to be to plot all the branches seperately, which is possible but just time consuming.



Sorry I don't think I made what I was asking for clear. I want to be able to select segments of the graph and change the linestyle on certain parts. 

For example if I had plotted x^2 between -2 and 2, I might want to put a dashed line when y is between 1 and 2 and x is positive. Is this possible without breaking it up into seperate plots?

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