Unformatted text preview: × 2 matrix and ~a is a constant vector. b) Find the solution to (2), hence write down the solution to (1). c) Sketch the phase orbits of the general solution to the vector DE in (2), highlighting the solution curve to the IVP (2) for t ≥ 0. d) Based on your phase portrait, is the motion under, over, or critically damped? e) Is the speed of the mass at a maximum just before, after, or as it crosses the equilibrium position for the ﬁrst time? [Hint: speed =  y  ; use (c).]...
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This note was uploaded on 10/30/2011 for the course AMATH 250 taught by Professor Ducharme during the Fall '09 term at Waterloo.
 Fall '09
 Ducharme

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