Use the Fourier transform to solve the following differential equation:
g" + 2g' + 5g = delta(x)
Where delta is the dirac delta function (impulse).
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This solution is provided in two files, a pdf. document and a Word file, showing in a step by step manner, how to go from the initial equation, utilizing the Fourier transform, to the inverse transform and complex contour integration to reach a solution. The solution contains 3 pages with full derivations.