Solving y''+16y=64t using Laplace Transform

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We solve a differential equation with initial values using Laplace transform.
The inverse transform yields cos(at) and sin(at) as part of the answer.
  1. Daniel An
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As always, as good example and a good explanation. I am improving my math skills thanks to you. Thank you very much.

olivioarmandocordeirojunio
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Why is the partial fractional decomposition on the right side of the original equation equal to both 64/s^2(s^2+16) and 5s+2?(s^2+16), when the latter expression is not being decomposed?

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