Ordinary Differential Equations: Methods of Solutions, Qualitative Behavior, Existence and Uniqueness, Initial Values

The proposed book will introduce many physical applications of first-order ordinary differential equations, including biology, demography, economy, and finance. The theoretical framework is focused on the Cauchy problem and general solutions of homogeneous and nonhomogeneous second-order linear differential equations. The book also introduces second-order equations with applications to physics and mechanics and more advanced topics based on systems of first-order linear equations with appli...