Inverse Laplace Transform Examples

These come from some initial value problems.


  InverseLaplaceTransform[4/(s-a),s,t]


  InverseLaplaceTransform[1/((s-a)(s-b)),s,t]


  InverseLaplaceTransform[1/(s-a)^2,s,t]


  InverseLaplaceTransform[1/(s-a)^6,s,t]


  InverseLaplaceTransform[6 s/(s^2+4 s+13),s,t]


  InverseLaplaceTransform[s^2/(s^2+6 s-6),s,t]

Cool! Remember, Mathematica knows the Dirac Delta function!


  InverseLaplaceTransform[1,s,t]

Aside on the Dirac Delta Function

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