Consider a system governed by the following equations\(\frac{{d{x_1}\left( t \right)}}{{dt}} = {x_2}\left( t \right) - {x_1}\left( t \right)\)\(\frac{{d{x_2}\left( t \right)}}{{dt}} = {x_1}\left( t \right) - {x_2}\left( t \right)\)The initial conditions are such that \({x_1}\left( 0 \right) < {x_2}\left( 0 \right) < \;\infty .\) Let \({x_{1f}} = \mathop {\lim }\limits_{t \to \infty } {x_1}\left( t \right)\) and \({x_{2f}} = \mathop {\lim }\limits_{t \to \infty } {x_2}\left( t \right)\). Which one of the following is true?

• A. \({x_{1f}} < {x_{2f}} < \infty\)
• B. \({x_{2f}} < {x_{1f}} < \infty\)
• C. \({x_{1f}} = \;{x_{2f}} < \infty\)
• D. \({x_{1f}} = {x_{2f}} = \infty\)