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Equations can be classified according to the types of operations and quantities involved. Important types include:

  • An algebraic equation is an equation involving only algebraic expressions in the unknowns. These are further classified by degree.
  • A linear equation is an algebraic equation of degree one.
  • A polynomial equation is an equation in which a polynomial is set equal to another polynomial.
  • A transcendental equation is an equation involving a transcendental function of one of its variables.
  • A functional equation is an equation in which the unknowns are functions rather than simple quantities.
  • A differential equation is an equation involving derivatives.
  • An integral equation is an equation involving integrals.
  • A Diophantine equation is an equation where the unknowns are required to be integers.
  • A quadratic equation

To learn more click on the Wikipedia Link in the sources and references section below.

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