- #1
ga400man
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Hey, I have a simple question to ask. Some sources I have seen develop the solution for the underdamped case with an exponential term multiplied by a Cosine term. This is due to the application of the Euler identity to the solution with two exponentials each with one of the complex conjugate roots. The sin terms cancel leaving just the cosine. Other sources show a solution with the exponential multiplied by both a sine and a cosine term (Wolfram Mathematics for example). Are these solutions the same essentially or am I missing something?