Ordinary Differential Equations and Mechanical Systems

The book offers a comprehensive exploration of ordinary differential equations (ODEs) vital for modeling engineering systems and processes. It systematically addresses a range of topics, starting with first and second order ODEs and progressing to linear and higher-order polynomial forms. Key concepts include similarity theory, various modeling approaches, phase plane and space analysis, stability optimization, and the complexities of chaos and synchronization, making it a valuable resource for both students and professionals in the field.