Basic research is generally more science oriented. That is, it aims to figure out how and why some phenomenon took place. In comparison, applied research is more technology oriented. That is, it aims to figure out how some process or phenomenon can be made use of. We can take an example of climate change research to illustrate the differences between basic and applied research. People engaged in basic research are studying what causes climate change and how is it affecting (or will affect) us. Applied researchers, on the other hand, are studying what can be done to minimize the negative effects of climate change and how we can control it (perhaps by the use of renewable energy sources, etc.).
Hope this helps.