A x 2 1 2 x 3 1 k c x 12 32 x 4 1

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Unformatted text preview: re finding it. (a) x′ = −2 1 −2 x λ = 3, 1, k = (c) x′ = 12 32 x λ = 4, − 1, k = (d) x′ = 30 03 x λ = 3, k = (e) x′ = 2 −1 1 4 x (f) x′ = 6 −1 5 4 x (g) x′ = 2 8 −1 −2 1 2 λ = 5 ± 2i, k = (a) Give (b) Find dx1 dt and (1,1) λ = ±2i, k = x −3 1 21 dx2 dt 2 1 −1 1 , x = c1 2 1 x = c1 −1 1 x = c1 1 1 ∓ 2i x = c1 x = c1 −2 1 , −1 1 2 1 2 1 −2 1 e3t + c2 2 3 e4t + c2 −1 1 −2 1 −1 1 te3t + et e −t 1 0 e3t x = [c1 (b1 cos 2t−b2 sin 2t)+c2 (b1 sin 2t+b2 cos 2t)] x. dx2 dx1 e −t e3t e3t + c2 e3t + c2 −2 1 e−3t + c2 x = [c1 (b1 cos 2t −...
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This document was uploaded on 03/29/2014 for the course MATH 322 at Oregon Tech.

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