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shining

  • 3 years ago

can any one find Laplace below?

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  1. shining
    • 3 years ago
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    \[e ^{x} \frac{ sinx }{ x}\]

  2. oldrin.bataku
    • 3 years ago
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    \(f(t)=e^t\frac{\sin t}t\\F(s)=\mathcal{L}\{f(t)\}=\mathcal{L}\{e^t\frac{\sin t}t\}=[\mathcal{L}\{\frac{\sin t}t\}](s-1)=\arctan\left(\frac1{s-1}\right)\)

  3. oldrin.bataku
    • 3 years ago
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    I used this: http://tutorial.math.lamar.edu/pdf/Laplace_Table.pdf

  4. robtobey
    • 3 years ago
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    From Mathematica 8:\[\text{LaplaceTransform}\left[E{}^{\wedge}x \frac{\text{Sin}[x]}{x},x,s\right]\to \text{ArcTan}\left[\frac{1}{-1+s}\right] \]

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