Mathematics · Differential Equations
For λ ∈ &mathbb;R;, consider the system of differential equations: x' 1 = x 1 + 2x 2 + 2x 3 x' 2 = 2x 2 + x 3 x' 3 = -x 1 + 2x 2 + λx 3 If x̅(t) = α̅ t e 2t (for some non-zero vector α̅) is a solution of the system, then the value of λ is equal to:
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