The following discrete-time equations result from the numerical integration of the differential equations of an un-damped simple harmonic oscillator with state variables x and y. the integration time step is h.\(\begin{array}{l} \frac{{{x_{k + 1}} - {x_k}}}{h} = {y_k}\\ \frac{{{y_{k + 1}} - {y_k}}}{h} = - {x_k} \end{array}\)For this discrete-time system, which one of the following statements is TRUE?

• A. The system is not stable for \(h > 0\)
• B. The system is stable for \(h > \frac{1}{\pi }\)
• C. The system is not stable for \(0< h > \frac{1}{{2\pi }}\)
• D. The system is not stable for \(\frac{1}{{2\pi }}< h > \frac{1}{\pi }\)