Ordinary Differential Equations
Methods of Solutions, Qualitative Behavior, Existence and Uniqueness, Initial Values
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Beschreibung
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 applications to the spread of infections, cow rumen, prey, and predator modeling. The book will also contain topics on series solutions for first- and second-order linear equations, Laplace transform, and an introduction to stochastic differential equations and their applications in finance.
Autor*in
Shair Ahmad
Themen in »Ordinary Differential Equations«
Methoden zur Lösung von Anfangswertproblemen Suche nach allgemeinen Lösungen Physikalische Anwendungen von ODE Beschreiben des impliziten Verhaltens von Lösungen Einzigartigkeit und Mangel an Einzigartigkeit Methos for solving initial value problems Finding general solutions Physical applications of ODE Describing implicit behavior of solutions Uniqueness and lack of uniqueness.