I am not sure what I am doing wrong??

I have implemented a very simple L R C circuit just to test laplace

L in series with R & C in parallel as the output (see below)

I placed both the L R C schematic and laplace equation in the same circuit

laplace equation "V=V(Si) Laplace=(1/({L}*{C}))*(1/(s**2+s/({R}*{C})+1/({L}*{C})))"

I added a BV voltage source in front of the L R C circuit to isolate both circuits

I use the same source signal for both circuits

The AC response for both are very similar but not exactly the same

but the transient responses ares completly different ???

see below screen shots

I appreciate any comments in advance

Thank you very much

Fausto bartra