What are the differences between an organic and an inorganic compound?

Answer 1

Basically, all organic compounds have carbon and organic chemistry is the study of carbon based comounds. Inorganic generally do not contain carbon (with exceptions being carbon monoxide, carbon dioxide, metal carbonates, metal bicarbonates and metal carbides).

Answer 2

In general organic contains carbon molecules and/or those related to life. It is the chemistry of carbon containing compounds.
Inorganic is everything else and generally do not contain carbon (with some exceptions).