Ordinary differential equation

Author: Wei Junjie
Publisher:
Publish Date: 2002-07-01
Features: This textbook is written for secondary school mathematics teachers pursuing undergraduate studies. Through this course, students will master the elementary methods of solving ordinary differential equations (ODEs), the existence and uniqueness of solutions to initial value problems, the extension of solutions, and the continuity of solutions with respect to initial values, as well as related theoretical concepts, laying a foundation for subsequent courses. Additionally, they will gain an understanding of some fundamental topics in modern research on ODEs to broaden their horizons. Furthermore, through the study of this course, students will clarify the relationship between secondary school mathematics content and certain topics in higher mathematics. Learning ODE models with strong practical backgrounds will also help in conducting mathematics experiment classes in secondary schools.