The word in general use in the meaning 'done according to a plan or system' is
systematic, and one can equally speak of
systematic learning (i.e. following a system or set of principles) and
a systematic search (i.e. one done methodically); the second is only a slight extension in meaning of the first. The less common word
systemic means 'relating to or affecting a system as a whole (rather than to a part of it)', as in
systemic failures in an organization, and has special technical meanings in medicine and linguistics.