Full Description
Mastering ordinary differential equations (ODE) is crucial for success in numerous fields of science and engineering, as these powerful mathematical tools are indispensable for modeling and understanding the world around us. From the motion of celestial bodies to the flow of electric currents, ODEs provide the language to describe dynamic systems.
To truly grasp the concepts and techniques of differential equations, practice is paramount. "A Problem-Solving Approach to Ordinary Differential Equations" is your essential guide, offering a comprehensive, four-volume set filled with plenty of meticulously solved, step-by-step problems designed to build your skills and deepen your understanding. This book empowers you to confidently tackle any ODE, transforming challenges into triumphs.
Contents
A Review of Limits, Derivatives, and Integrals.- Review of Trigonometry.- A Review of Algebra.- Classification of Differential Equations.- First Order Differential Equations.- Solving Differential Equations with a Change of Variable (I).- Solving Differential Equations with a Change of Variable (II).- Supplementary Techniques for Solving First-order Differential Equations.- The Exact Differential Equations.- The Integrating Factor.- Cauchy-Euler's Equation.- Bernoulli's Equation.- Clairaut's Equation.- Riccati's Equation.
