Episode #83 - Just Talking About | Python and Differential Equations
Math & Physics Podcast
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The Coefficient of the Iomega T, Has an Imaginary Part?
A, what was i saying? The coefficient of the of the e o the iomega t, has an imaginary part. But from fourier's theorem, you can represent any periodic function as the sum of sign and co sign ways. So instead of your driving force being just cosin, it's just an infinite sum of cosign waves. And so your solution is now a times e to the i, sum omega value. Yes, really, take the real party, but now it's an infinite sum, which means integral.
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