Exercise 5.5

a)
Work out the example from paragraph 5.3.2.
b)
Plot the solution curves in the phase plane (in 1 figure) with initial conditions:

$ (x_{1}(0),x_{2}(0))$ and (2,8), (2,7), (0.1,0.1), (-2,-8), (-2,-7), (-2,-6), (-0.1,-0.1) respectively for $ t \in [0,1]$ .
HINT:
It is recommended to fix the axes with the command axis, e.g. $ x_{1}$ and $ x_{2}$
between -10 and 10.
Perform this exercise both numerically and symbolically.



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Esteur 2010-03-22