Systematic is the more common word; it most often describes something that is done according to a system or method. Systemic describes what relates to or affects an entire system, be that system physical, organizational, or societal.
1. Characterized by, based on, or constituting a system: systematic thought. 2. Working or done in a step-by-step manner; methodical: a systematic worker; a systematic approach.
Definition of systematic adjective from the Oxford Advanced Learner's Dictionary. done according to a system or plan, in a complete, efficient or determined way. The prisoner was subjected to systematic torture. None of the studies were sufficiently systematic to give a reliable result.
Biology concerned with classification: systematic botany. Biology pertaining to, based on, or in accordance with a system of classification: the systematic names of plants.
Master the word "SYSTEMATIC" in English: definitions, translations, synonyms, pronunciations, examples, and grammar insights - all in one complete resource.
There are 11 meanings listed in OED's entry for the word systematic, four of which are labelled obsolete. See ‘Meaning & use’ for definitions, usage, and quotation evidence.