Differential Equations:

A differential equation is any equation that contains one or more derivatives.

Separable differential equations:

A separable differential equation is a differential equation of the form where for

Homogeneous differential equations:

A homogeneous differential equation is a differential equation of the form where and are of the same degree.

Separable differential equations are introduced with the introduction of differential equations and homogeneous equations. Differential equations are solved using calculus techniques. Examples are provided in this tutorial to present the idea of differential equations and their applications.

Steps to solving differential equations are introduced with the help of examples. Homogeneous equations are exhibited with the aid of visual representation and graphs. Ideas to look forward in future courses are mentioned here with the help of examples.

Specific Tutorial Features:

• True and answer questions are presented to evaluate the most important concepts in this tutorial.
  
• Step by step detailed examples showing all aspects of how to solve homogeneous and separable differential equations.

Series Features:

• Concept map showing inter-connections of new concepts in this tutorial and those previously introduced.
  
• Definition slides introduce terms as they are needed.
  
• Visual representation of concepts
  
• Animated examples—worked out step by step
  
• A concise summary is given at the conclusion of the tutorial.

Differential equations
  The definition of differential equation
  Examples of differential equations
Separable differential equations
   Definition of separable differential equations
Homogeneous differential equations
  Definition of homogeneous differential equations