integral equation

an equation in which an integral involving a dependent variable appears.
[1795-1805]

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In mathematics, an equation with an unknown function within an integral.

An example is
where f(x) is known and φ(t) is to be found, given certain conditions on f. Such equations are useful in solving differential equations.

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      in mathematics, equation in which the unknown function to be found lies within an integral sign. An example of an integral equation is

      in which f(x) is known; if f(x) = f(-x) for all x, one solution is

 

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Universalium. 2010.

Look at other dictionaries:

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