Unformatted text preview: independent on
IR.
(d) Show that W (y1 (x), y2 (x)) = 0 for all x IR. (b) Find the equilibrium solutions of the system, if any.
(c) Find the general solution of the system.2012
AMATH 350
Assignment #6  Fall Page 2 * You may use Maple to help you with the following two problems. If you
4 .do, include a printout of your worksheet(s) with your assignment.
8. Consider the system y = Ay, where
A= 421
043
004 . (a) Show that A has one eigenvalue, , of multiplicity three with one
linearly independent eigenvector, v1 . Hence ﬁnd one solution of the
system.
(b) Find two more independent solutions as described in class. Verify
that the three solutions are linearly independent. Hence give the
general solution of the system....
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 Winter '14

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