Fourier transformation
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A fourier transformation is a method used to solve differential equations. To fourier transform a function f(x), integral calculus is used. The operation to integrate the function multiplied by an exponent function e^ikx (where e is the exponential constant 2.871, i is the square root of -1, and k is just an arbitrary constant) with limits minus infinity and plus infinity. The answer will be a function of k, g(k).
When fourier transform of the derivative of a function f(x), is simply g(k) multiplied by i*k.
To solve for f(x) in a differential equation, fourier transform both sides of the equation, and use algebra to solve for g(k). Then an inverse transform will get back the original f(x).
