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Unformatted text preview: b2 sin 2t) + c2 (b1 sin 2t + b2 cos 2t)]e5t 2 ± 2i
−1 . Then give
(1,1) −2
1 , −2
1 ,
2
3 2
1 λ = 3, k = 2. Consider the system x′ = 2
1 λ = −3, − 1, k = x 2
2 (b) x′ = 2 −2
−2 , using the fact that
(1,1) dx2
at (1, 2), (2, 1) and (0, 1), labeling your answers clearly.
dx1 (c) Plot a direction ﬁeld at the points for which you have found slopes. dx2
dx2 /dt
=
.
dx1
dx1 /dt...
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This document was uploaded on 03/29/2014 for the course MATH 322 at Oregon Tech.
 Spring '13
 GreggWaterman
 Math, Differential Equations, Equations

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