Hieratic is the name given to a cursive writing system used for Ancient Egyptian and the principal script used to write that language from its development in the third millennium BC until the rise of Demotic in the mid-first millennium BC. It was primarily written in ink with a reed pen on papyrus.
Demotic is the ancient Egyptian script derived from northern forms of hieratic used in the Nile Delta, and the stage of the Egyptian language written in this script, following Late Egyptian and preceding Coptic.