Fourier transformation
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A fourier transformation is a method used to solve differential equations. To fourier transform a function f(x), you use integral calculus 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. After this, you will end up with a function of k, g(k).
When you fourier transform the derivative of a function f(x), you will simply get g(k) multiplied by i*k.
When solving for f(x) in a differential equation, if you fourier transform both sides of the equation, and use algebra to solve for g(k), then you can do an inverse transform and get back the original f(x).
