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Solved Problems-11

Determine the Laplace transform of the following periodic waveform.
Description: Description: 3226.png
Let, for the first half sine wave, the transform is F1(s).
Now, f1(t) = sin tu(t) + sin(t – πu(t – π)
Taking Laplace transform,
F1(s) = Description: Description: 7910.png
By the theory of periodicity of Laplace transform, the Laplace transform of the full periodic waveform will be,
F(s) = Description: Description: 7916.png
Description: Description: 7922.png
Description: Description: 7931.png 

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