Differential Equations

Let y = y(x) satisfies the equation \({{dy} \over {dx}} - |A| = 0\), for all x > 0, where \(A = \left[ {\matrix{ y & {\sin x} & 1 \cr 0 & { - 1} & 1 \cr 2 & 0 & {{1 \over x}} \cr } } \right]\). If \(y(\pi ) = \pi + 2\), then the value of \(y\left( {{\pi \over 2}} \right)\) is :