# Module 1: First Order Differential Equations

## Basic Ideas and Definitions

## Implicit and Explicit Solutions

Video: Explicit Solutions

Video: Implicit Solutions

Video: Initial Value Problems

## Direction Fields

Video: Direction Fields

## The Approximation Method

Video: Basics of Euler’s Method

Video: Examples of Euler’s Method

## Separable Equations

## Linear Equations

## Compartmental Analysis

Video: Mixing Problems

Video: Population Models