课程简介
This course provides a systematic introduction to ordinary differential equations (ODEs) with an
emphasis on modeling, analytical solution techniques, and qualitative analysis. Topics include
first- and second-order differential equations, dimensional analysis, oscillatory systems, Laplace
transform methods, and systems of differential equations. Applications are drawn from physical,
engineering, and biological systems. The course develops students’ ability to formulate
differential equation models, solve them using appropriate methods, and interpret the behavior of
solutions.