Re: Inverse / Laplace Transform Halved
- To: mathgroup at smc.vnet.net
- Subject: [mg100785] Re: [mg100753] Inverse / Laplace Transform Halved
- From: Bob Hanlon <hanlonr at cox.net>
- Date: Sun, 14 Jun 2009 05:38:00 -0400 (EDT)
- Reply-to: hanlonr at cox.net
$Version 7.0 for Mac OS X x86 (64-bit) (February 19, 2009) InverseLaplaceTransform[ LaplaceTransform[ BesselI[1, t], t, s] // Simplify, s, t] // Simplify Piecewise[{{BesselI[1, t]/2, s > 1}, {-DiracDelta[t], s < 1}}] However, LaplaceTransform[ InverseLaplaceTransform[ BesselI[1, t], t, s], s, t] BesselI[1, t] No problem with second example LaplaceTransform[ InverseLaplaceTransform[ s*Exp[(-a)*Sqrt[s]], s, t], t, s] s/E^(a*Sqrt[s]) Bob Hanlon ---- Sid <pcoords29 at gmail.com> wrote: ============= Dear MathGroup, I am currently using Version 6 and have found that InverseLaplaceTransform[LaplaceTransform[BesselI[1,t],t,s],s,t] yields, after tidying up, 1/2 BesselI[1,t]. Also, LaplaceTransform[InverseLaplaceTransform[s*Exp[(-a)*Sqrt[s]], s, t], t,s] gives ((1/2)*s)/E^(a*Sqrt[s]) . Do members have the same problem with Version 7 ? Is it I who am missing something here ? Thanks for your help. Cheers Sid