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 a 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.