Consider a system of two linear first-order ordinary differential equations: y₁ = y₁ - y2, y₂ = 2y₁ - y2. Y1 a) The corresponding eigenvalues are O₁ = 1, ₁ = 1+i, Oλ₁ = i, A₂ = −1 A₂ = 1 - i 1₂ = -i b) The corresponding eigenvectors of this linear ODE system are: Oll and III OI and II OIII and IV OI and IV where I:U₁ = II:u2 1+i 2 2 (¹) (²3 (26² (2(₁1²+-+)) 2i 2(1 + i) i) = III:u₁= IV:u₂ =

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