This table provides links to notes in Differential Equations

Introduction to Differential Equations

Existence and Uniqueness of Solutions

Phase Diagrams for Autonomous Differential Equations

Slope Fields for Differential Equations and Semi-Stable Equilibrium Solutions

Approximate Methods for First Order Differential Equations

First Order, Nonlinear Differential Eqs. - types & transformations

Related Rate Applications

Existence and Uniqueness of linear, second order differential equations

Basics of second order, ordinary differential equations , complementary solutions
Method of Reduction

Particular solutions of nonhomogeneous differential equations

Mechanical Vibrations

Method of Variation of Parameters

Initial Value, Boundary Value, and Eigenvalue Problems

Fourier Series

Heat Conduction in a Thin Rod - Application 1

1-D Wave Equation (String Vibrations) - Application 2

Dirichlet Applications - Heat Conduction in a Plate - Application 3

Summary - Homogenous BC's for prior three Applications

Steady Periodic Vibrations

Sturm-Liouville Applications