equation vs formula

equation

noun
  • The act or process of equating two or more things, or the state of those things being equal (that is, identical). 

  • An assertion that two expressions are equal, expressed by writing the two expressions separated by an equal sign; from which one is to determine a particular quantity. 

  • A small correction to observed values to remove the effects of systematic errors in an observation. 

formula

noun
  • A syntactic expression of a proposition, built up from quantifiers, logical connectives, variables, relation and operation symbols, and, depending on the type of logic, possibly other operators such as modal, temporal, deontic or epistemic ones. 

  • Any mathematical rule expressed symbolically. 

  • A symbolic expression of the structure of a compound. 

  • A formal statement of doctrine. 

  • A formulation; a prescription; a mixture or solution made in a prescribed manner; the identity and quantities of ingredients of such a mixture. 

  • A plan or method for dealing with a problem or for achieving a result. 

How often have the words equation and formula occurred in a corpus of books? (source: Google Ngram Viewer )