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Cauchy-Euler Equations

Variations of Parameters via Superposition

The Method of Undetermined Coefficients

Solving Homogeneous Linear DE's with Constant Coefficients

Reduction of Order in Homogeneous Linear DE's

Non-homogeneous Linear DE's: Introduction

Homogeneous Linear DE's : Linear Independence

Homogeneous Linear DE's: Superposition

Linear DE's IVP's and BVP's

Mixture Problems Revisited

Models Which Use Systems of 1st-order DE's

A Nonlinear Model : The Logistic Equation

Differential Equations Solutions By Substitutions

More Examples Solving Exact Differential Equations

Using Integration Factors to Solve Inexact Differential Equations

Exact Differential Equations

Partial Anti-differentiation of Functions of Two Variables

Integrating Factors: More Examples

Solving Differential Equations Using Integrating Factors

Separable Differential Equations

Autonomous Differential Equations

Direction Fields of Differential Equations

Differential Equations as Math Models

Existence and Uniqueness of First-order Initial Value Problems