**What is Differential Equations?**

A Complete Overview

The following video provides an outline of all the topics you would expect to see in a typical Differential Equations class (i.e.,

**Ordinary Differential Equations**, ODE, DEs, Diff-Eq, or Calculus 4).

All of the topics are covered in detail in our Online Differential Equations Course.

The online course contains:

- Full Lectures –
*Designed to boost your test scores.* - 150+ HD Video Library –
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## Differential Equations Overview

Differential Equations Overview

The following sections provide links to our complete lessons on all Differential Equations topics.

Also, be sure to check out our FREE calculus tutoring videos and read our reviews to see what we’re like.

## Intro to DiffEqs

2 Videos 34 Examples

- Ordinary Differential Equations
- Initial Value Problems

## First Order Differential Equations

6 Videos 42 Examples

- Directional Fields
- Separable Equations
- Solving Exact ODEs
- Homogeneous Differential Equation
- Bernoulli Differential Equation
- Linear and Nonlinear Models

## Second Order Differential Equations

10 Videos 72 Examples

- Distinct Real Roots
- Complex Roots
- Repeated Roots
- Wronskian
- Undetermined Coefficients
- Differential Operators
- Variation of Parameters
- Cauchy Euler Equation
- Predator Prey Models and Electrical Networks
- Mechanical Vibrations

## Laplace Transform

4 Videos 31 Examples

- Laplace Transform Overview
- Inverse Laplace Transforms
- Initial Value Problems with Laplace Transforms
- Translation Theorems of Laplace Transforms

## Systems of Differential Equations

2 Videos 18 Examples

- Phase Plane Portraits
- Homogeneous Linear Systems

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