Elementary Differential Equations

At the end of the course, students should be able to: 1. define the following: order and degree of a differential equation; 2. describe some techniques for solving first and second order linear and non-linear equations; and 3. solve some problems related to geometry and physics.

Derivation of differential equations from primitive, geometry, physics, etc. order and degree of differential equation. Techniques for solving first and second order linear and non-linear equations. Solutions of systems of first order linear equations. Finite linear difference equations. Application to geometry and physics.