Prof. Jason Starr
This course covers the same material as 18.03 with more emphasis on theory. Topics include first order equations, separation, initial value problems, systems, linear equations, independence of solutions, undetermined coefficients, and singular points and periodic orbits for planar systems.
OCW has published multiple versions of this subject.
Starr, Jason. 18.034 Honors Differential Equations, Spring 2004. (MIT OpenCourseWare: Massachusetts Institute of Technology), http://ocw.mit.edu/courses/mathematics/18-034-honors-differential-equations-spring-2004 (Accessed). License: Creative Commons BY-NC-SA