Park City Mathematics Institute
Summer 2001
Undergraduate Faculty Program
Ordinary Differential Equations Project: Ollie Nanyes
Objectives of the Project
The Project (for students to complete) (pdf)
The Project (for students to complete) (tex)
Solutions to the Project's Questions (pdf)
Solutions to the Project's Questions (tex)
Related Graphs
Slope Field for the first three linear (ok, affine) capacity function situations
Slope Field for the next three linear capacity function situations
Slope Filed for the last three linear capacity function situations
Linear Capacity Function Solution Curves
(note: which curve is which can be deduced from the slope fields)
Slope Field for the first three quadratic capacity function situations
Quadratic Capacity Function Solution Curves
Slope Field for the first three log capacity function situations
Slope Field for the next three log capacity function situations
Slope Field for the last three log capacity function situations
Log Capacity Function Solution Curves
Periodic Capacity Function Situation
(slope field with solution curves)