This is a good question as most of us will be unaware of the same , you can differentiate the two terms simply as , "Research" is just a process to gain some knowledge , but applied research involves solving a particular problem rather making a systematic study on some general problems to gain knowledge,practical focus is given to applied research.
Reference and definition given below is derived from sjsu.edu
For example, basic science investigations probe / research for answers to questions such as:
• How did the universe begin? • What are protons, neutrons, and electrons composed of? • How do slime molds reproduce? • What is the specific genetic code of the fruit fly?
For example, applied researchers may investigate ways to:
• improve agricultural crop production • treat or cure a specific disease • improve the energy efficiency of homes, offices, or modes of transportation