Ordinary Differential Equations and Mechanical Systems

The book provides a comprehensive, step-by-step exploration of ordinary differential equations (ODEs) in engineering applications. It systematically addresses first and second order ODEs, as well as linear and higher-order polynomial forms. Key concepts include similarity theory, various modeling approaches, and advanced topics such as phase plane and phase space analysis, stability optimization, chaos, and synchronization. This structured approach equips readers with essential tools for modeling complex systems effectively.