A system is described by the following differential equation:\(\frac{{dy\left( t \right)}}{{dt}} + 2y\left( t \right) = \frac{{dx\left( t \right)}}{{dt}} + x\left( t \right),x\left( 0 \right) = y\left( 0 \right) = 0\)Where x(t) and y(t) are the input and output variables respectively. The transfer function of the inverse system is

• A. \(\frac{{s + 1}}{{s - 2}}\)
• B. \(\frac{{s + 2}}{{s + 1}}\)
• C. \(\frac{{s + 1}}{{s + 2}}\)
• D. \(\frac{{s - 1}}{{s - 2}}\)