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Question: Phaseportraits...

Question:Phaseportraits...

Deadstar 197 Maple
student
March 12 2009
0

Hello, I have a function that produces different phase portraits as you change the variable x in the original equation. Im trying to find out at what values of x this change occurs...
 

So far I have determined the eigenvalues with regards to x and have run loops to find out roughly when this happens but i would like to be able to do this with either a procedure of perhaps dsolve or solve maybe?

 

So, given the eigenvalues, how would i go about doing this?
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