The LATMOS Test Particle (LaTeP) model can simulate the X-ray emission under steady-state solar wind conditions. In this study, we develop a new dynamic version D-LaTeP model to apply to time-varying solar wind conditions. To test and validate the model, we perform D-LaTeP simulations under real-time IMF southward turning event and a dynamic pressure enhancement event. The results indicate that the model can display the evolution of X-ray emissions near the magnetosphere for both cases, indicating its robustness under time-varying solar wind conditions. To support future X-ray imaging missions like SMILE and LEXI compare the observations with our results, we averaged the simulated X-ray images over 5 and 10 minutes. These averaged images clearly show the movement of the magnetopause and cusps, indicating that X-ray missions with similar exposure times should be able to capture these temporal variations effectively.