Please see the attached file for the fully formatted problems.
consider the following system:
dX/dt = AX + B
Where A= (1 4)
And B = (3,6)
a. Determine the equilibrium point X* of the system.
b. Is the equilibrium point stable or unstable?
c. Draw precisely the phase portrait of the system.
Please see the attached file for the complete solution.
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The solution is attached below in two files. the files are identical in content, only differ in format. The first is in MS Word format, while the other is in Adobe pdf format. ...
The 4-pages solution is a complete analysis of the problem and includes all appropriate derivations.