527revexam2

527revexam2 - 642:527 REVIEW EXAM 2 FALL 2009 1. (a) Find...

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Unformatted text preview: 642:527 REVIEW EXAM 2 FALL 2009 1. (a) Find the general solution of z = A z , where z = parenleftbigg x y parenrightbigg and A = parenleftbigg 2 3- 2- 5 parenrightbigg . Be sure you actually give this solution (which should involve two free constants). (b) On the axes below give a careful drawing of the phase plane ( xy-plane) for this system, showing enough trajectories to indicate qualitatively the motion in each region of the plane, as well as any special (straight-line) trajectories. Your trajectories should be marked with arrowheads giving the direction in which the solution moves as t increases. ...................................................................................................................................................................... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ....
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527revexam2 - 642:527 REVIEW EXAM 2 FALL 2009 1. (a) Find...

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