A Problem-Solving Approach to Ordinary Differential Equations

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.

Includes a large number of solved problems, providing step-by-step explanations and solutions Integrates MATLAB® and Simulink® to complement traditional pen-and-paper methods Serves as a valuable supplement to core textbooks

Autorentext

Farzin Asadi received his B.Sc. in Electronics Engineering, his M.Sc. in Control Engineering, and his Ph.D. in Mechatronics Engineering. Currently, he is with the Department of Computer Engineering at the OSTIM Technical University in Ankara, Turkey. Dr. Asadi has published more than 40 international papers and 35 books. His research interests include switching converters, control theory, robust control of power electronics converters, and robotics.

Inhalt

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.