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amaes

  • 3 years ago

find the laplace of f(t) = e^(-2t) * sin(3pi*t)

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  1. amaes
    • 3 years ago
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    integral from 0 to infinity?

  2. amaes
    • 3 years ago
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    okay so F(s +2)

  3. amaes
    • 3 years ago
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    so F(s) + F(2)

  4. amaes
    • 3 years ago
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    how do i find F(s+2)

  5. amaes
    • 3 years ago
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    okay and whats the L of coskt?

  6. RolyPoly
    • 3 years ago
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    Wait!!! Is it convolution???

  7. amaes
    • 3 years ago
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    maybe

  8. amaes
    • 3 years ago
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    apply the translation theorem

  9. RolyPoly
    • 3 years ago
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    L(f*g) = F(s)G(s) :S ^Convolution

  10. hartnn
    • 3 years ago
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    L[f1(t)*f2(t)] = L [f1(t)] L [f2(t)] so just find L[e^{-2t}] and L[sin(3pi*t)] and multiply them

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