Types of Equations
Equations can be classified according to the types of operations and quantities involved. Important types include:
- An algebraic equation or polynomial equation is an equation in which a polynomial is set equal to another polynomial. These are further classified by degree:
- a linear equation has degree one,
- quadratic equation has degree two,
- cubic equation has degree three,
- quartic equation has degree four,
- quintic equation has degree five,
- A Diophantine equation is an equation where the unknowns are required to be integers.
- An indeterminate equation has an infinite set of solutions, which only give one variable in terms of the others.
- 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 parametric equation includes variables which are all functions of one or more common variables (called parameters).
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