Cristian Calude, proba pe echipe, R.III, P.III

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Laurian Filip
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Cristian Calude, proba pe echipe, R.III, P.III

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Fie sirurile \( (x_n)_{n \geq 0} \) si \( (y_n)_{n \geq0} \) care verifica relatiile: \( \left\{\begin{array}{c}
x_{n+1}=\sqrt{3}x_n-y_n\\\\
y_{n+1}=x_n+\sqrt{3}y_n \end{array} \)
\( \forall n\geq 0 \) si \( x_0,y_0 \) dati. Sa se determine \( x_n,y_n \) in functie de \( x_0,y_0 \).
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