Geometry
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Europe
Sketch rough phase portraits for the dynamical systems given in Exercise 32 through 39.
Do parts a and d of Exercise 10 for a quadratic form of n variables
Find a differential equation of the formdxdt=kxfor which x(t)=3tis a solution.
Determine the stability of the systemdx→dt=(000001-1-1-2)x→
If the systemdx→dt=Ax→is stable, isdx→dt=A-1x→stable as well? How can you tell?
Geometry
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